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What is the ratio of x to 400?
1) 5
2) 4
3) 50
4) 25

1 Answer

3 votes

Final answer:

The ratio of x to 400 is 1 to 4. To find x in a proportion, set up a cross multiplication with the given ratios. Ratios are pivotal in solving problems related to scaling and unit conversions.

Step-by-step explanation:

The question asks us to find the ratio of x to 400. A ratio compares two quantities, and in this case, we need to determine what number x should be so that the ratio x:400 is equivalent to one of the given options: 5, 4, 50, or 25. The correct ratio is x to 400 is 1 to 4, which can also be written as 1:4 or 1/4.

To apply this in a proportion problem, such as 1:2=4:x, we can set up a proportion where each of the ratios is equivalent. We cross multiply to solve for x. Here, we'd have 1 * x = 2 * 4, which simplifies to x = 8.

The concept of ratios is also used in scaling and unit conversion problems. For example, if a scale dimension is 0.5 inches and the actual dimension is unknown, represented as x miles, we can write the ratio as 1 inch/2000 miles = 0.5 inches/x miles and solve for x.

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