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Finding the Fourth Proportional to 616.62, 924.95 and 421.16

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Solution

The fourth proportional to 616.62, 924.95 and 421.16 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.62 : 924.95 = 421.16 : x
  2. Step 2: Convert to fraction form
    616.62/924.95 = 421.16/x
  3. Step 3: Cross multiply
    616.62x = 924.95 × 421.16
  4. Step 4: Simplify right side
    616.62x = 389,545.21
  5. Step 5: Solve for x
    x = 389,545.21/616.62
  6. Step 6: Final answer
    x = 631.74

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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.