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Finding the Fourth Proportional to 521.61, 715.85 and 472.38

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Solution

The fourth proportional to 521.61, 715.85 and 472.38 is: 648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.61 : 715.85 = 472.38 : x
  2. Step 2: Convert to fraction form
    521.61/715.85 = 472.38/x
  3. Step 3: Cross multiply
    521.61x = 715.85 × 472.38
  4. Step 4: Simplify right side
    521.61x = 338,150.86
  5. Step 5: Solve for x
    x = 338,150.86/521.61
  6. Step 6: Final answer
    x = 648.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.