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Finding the Fourth Proportional to 616.60, 924.21 and 308.71

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Solution

The fourth proportional to 616.60, 924.21 and 308.71 is: 462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.60 : 924.21 = 308.71 : x
  2. Step 2: Convert to fraction form
    616.60/924.21 = 308.71/x
  3. Step 3: Cross multiply
    616.60x = 924.21 × 308.71
  4. Step 4: Simplify right side
    616.60x = 285,310.56
  5. Step 5: Solve for x
    x = 285,310.56/616.60
  6. Step 6: Final answer
    x = 462.72

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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.