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Finding the Fourth Proportional to 616.25, 922.68 and 500.42

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Solution

The fourth proportional to 616.25, 922.68 and 500.42 is: 749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.25 : 922.68 = 500.42 : x
  2. Step 2: Convert to fraction form
    616.25/922.68 = 500.42/x
  3. Step 3: Cross multiply
    616.25x = 922.68 × 500.42
  4. Step 4: Simplify right side
    616.25x = 461,722.91
  5. Step 5: Solve for x
    x = 461,722.91/616.25
  6. Step 6: Final answer
    x = 749.25

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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.