Finding the Fourth Proportional to 752.08, 1,037.88 and 416
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Solution
The fourth proportional to 752.08, 1,037.88 and 416 is: 574.09
Step by Step Solution
- Step 1: Write the proportion equation
752.08 : 1,037.88 = 416 : x - Step 2: Convert to fraction form
752.08/1,037.88 = 416/x - Step 3: Cross multiply
752.08x = 1,037.88 × 416 - Step 4: Simplify right side
752.08x = 431,758.08 - Step 5: Solve for x
x = 431,758.08/752.08 - Step 6: Final answer
x = 574.09
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.