Understanding Proportions

This video tutorial introduces the concept of proportions, explaining how they are formed by setting two equivalent ratios equal to each other. It covers the important property of cross products being equal in proportions and demonstrates how to create and verify proportions using examples. The tutorial also teaches how to solve proportions by cross-multiplying and applying these concepts to real-world problems, such as calculating distances and travel times.

What is a proportion?

• A comparison of two different numbers

• A method to solve equations

• A type of fraction

• A statement that two ratios are equal

Which of the following is an example of a proportion?

• 5/6 = 10/12

• 7/8 = 14/15

• 2/3 = 4/5

• 3/4 = 6/8

How can you verify if two ratios form a proportion?

• By checking if the cross products are equal

• By adding the numerators

• By subtracting the denominators

• By dividing the numerators by the denominators

What is the value of x in the proportion 4/x = 10/32?

• 64

• 80

• 8

• 32

If 10k = 270, what is the value of k?

• 27

• 30

• 25

• 20

A car travels 435 miles on 15 gallons of gas. How far can it travel on 3 gallons?

• 87 miles

• 90 miles

• 80 miles

• 100 miles

What is the first step in solving a proportion problem involving distance and fuel?

• Add the distances

• Subtract the miles

• Set up a proportion with the given rates

• Multiply the gallons

A car travels 234 kilometers in 3 hours. How long will it take to travel 459 kilometers?

• 5.9 hours

• 6.5 hours

• 6 hours

• 5 hours

What is the cross product of 234 and x in the proportion 234/x = 3/459?

• 459

• 3x

• 1377

• 234x

When rounding to the tenths place, what is the approximate time to travel 459 kilometers?

• 6.1 hours

• 6.0 hours

• 5.9 hours

• 5.8 hours