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Finding the Fourth Proportional to 616.92, 924.14 and 493.76

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Solution

The fourth proportional to 616.92, 924.14 and 493.76 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 924.14 = 493.76 : x
  2. Step 2: Convert to fraction form
    616.92/924.14 = 493.76/x
  3. Step 3: Cross multiply
    616.92x = 924.14 × 493.76
  4. Step 4: Simplify right side
    616.92x = 456,306.91
  5. Step 5: Solve for x
    x = 456,306.91/616.92
  6. Step 6: Final answer
    x = 739.66

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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.