Name
7-1
Class
Date
Practice
Form K
Ratios and Proportions
Write the ratio of the first measurement to the second measurement.
1. length of car: 14 ft 10 in.
2. weight of car: 2900 lb
length of model car: 8 in.
weight of model car: 8 oz
3. diameter of car tire: 40 cm
4. height of car: 4 ft 8 in.
diameter of toy car tire: 18 mm
height of toy car: 3 in.
5. There are 238 juniors at a high school. The ratio of girls to boys in the junior class is 3:4.
How many juniors are girls? How many are boys?
6.The sides of a rectangle are in the ratio 2:5. The perimeter of the rectangle is 70
cm. What is the width of the rectangle?
7.The measures of the angles of a triangle are in the extended ratio 6 : 1 : 5. What is
the measure of the largest angle?
Algebra Solve each proportion. To start, use the Cross Products Property.
8.
10.
3 x

5 25
9.
x2 3

8
4
11.
In the diagram,
12.
b

a
14.
ab

b
x 9

4 2
y y6

3
8
a 2
= . Complete each statement. Justify your answer.
b 3
13.
b
3
15.
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5
Name
Class
Date
Practice (continued)
7-1
Form K
Ratios and Proportions
Coordinate Geometry Use the graph. Write each ratio in
simplest form.
16.
AC

AD
17.
AB
EC
; simplified to
.
18. slope of ED
19. You are helping to hang balloons in the gym for a school dance. There are a total
of 175 balloons. Some of the balloons are gold and the rest are silver. If the
ratio of gold to silver is 3 : 2, how many gold balloons are there?
20. The ratio of the width to the height of a window is 2 : 7. The width of the
window is 3 ft. Write and solve a proportion to find the height.
21. The sides of a triangle are in the extended ratio of 3 : 4 : 10. If the length of the
shortest side is 9 in., what is the perimeter of the triangle?
22. Write a proportion that has means 4 and 15 and extremes 6 and 10.
Algebra Solve each proportion.
23.
x 77

4 28
24.
3
9

4 y 138
25.
6
3

d  5 d 1
26.
8
6

2y  3 y  4
27. Writing Explain how the Cross Products Property can be used to show that
2
4
is not a true proportion.

x – 3 2x  1
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6