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Finding the Fourth Proportional to 938.38, 1,295.10 and 565.24

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Solution

The fourth proportional to 938.38, 1,295.10 and 565.24 is: 780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.38 : 1,295.10 = 565.24 : x
  2. Step 2: Convert to fraction form
    938.38/1,295.10 = 565.24/x
  3. Step 3: Cross multiply
    938.38x = 1,295.10 × 565.24
  4. Step 4: Simplify right side
    938.38x = 732,042.32
  5. Step 5: Solve for x
    x = 732,042.32/938.38
  6. Step 6: Final answer
    x = 780.11

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Double scale
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1.5x scale

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.