Scale Factor Proportions

​Scale Drawing Example

​Scale Drawing Example

​Example

​The Statue of Liberty is approximately 305 feet tall. A scale model of the statue is 5 inches tall. The scale of the model is 1 in = ___________ ft.

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​Steps

1. ​Set up a ratio for the model height compared to actual height, unit of measures should be on same line.

2. ​Set up a proportion to solve the problem

3. ​Cross multiply

4. ​Divide

​Example

​The Statue of Liberty is approximately 305 feet tall. A scale model of the statue is 5 inches tall. The scale of the model is 1 in = ___________ ft.

​

​Example

1. ​The Statue of Liberty is approximately 305 feet tall. A scale model of the statue is 5 inches tall. The scale of the model is 1 in = ___________ ft.

2. ​The right arm of the Statue of Liberty is 42 feet long. How long is the right arm of the Statue of Liberty model described in question 1?

Multiple Choice

How would you set up the proportion?

• $$\frac{1}{40}=\frac{15}{x}$$  

• $$\frac{40}{15}=\frac{x}{1}$$  

• $$\frac{1}{40}=\frac{x}{15}$$  

​Scale Models