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Finding the Fourth Proportional to 621.26, 932.12 and 328.78

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Solution

The fourth proportional to 621.26, 932.12 and 328.78 is: 493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.26 : 932.12 = 328.78 : x
  2. Step 2: Convert to fraction form
    621.26/932.12 = 328.78/x
  3. Step 3: Cross multiply
    621.26x = 932.12 × 328.78
  4. Step 4: Simplify right side
    621.26x = 306,456.11
  5. Step 5: Solve for x
    x = 306,456.11/621.26
  6. Step 6: Final answer
    x = 493.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.