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Finding the Fourth Proportional to 621.52, 932.48 and 405.52

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Solution

The fourth proportional to 621.52, 932.48 and 405.52 is: 608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.52 : 932.48 = 405.52 : x
  2. Step 2: Convert to fraction form
    621.52/932.48 = 405.52/x
  3. Step 3: Cross multiply
    621.52x = 932.48 × 405.52
  4. Step 4: Simplify right side
    621.52x = 378,139.29
  5. Step 5: Solve for x
    x = 378,139.29/621.52
  6. Step 6: Final answer
    x = 608.41

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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.