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Finding the Fourth Proportional to 616.66, 922.52 and 514.14

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Solution

The fourth proportional to 616.66, 922.52 and 514.14 is: 769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.66 : 922.52 = 514.14 : x
  2. Step 2: Convert to fraction form
    616.66/922.52 = 514.14/x
  3. Step 3: Cross multiply
    616.66x = 922.52 × 514.14
  4. Step 4: Simplify right side
    616.66x = 474,304.43
  5. Step 5: Solve for x
    x = 474,304.43/616.66
  6. Step 6: Final answer
    x = 769.15

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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.