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Finding the Fourth Proportional to 925.22, 1,385.93 and 616.08

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Solution

The fourth proportional to 925.22, 1,385.93 and 616.08 is: 922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.22 : 1,385.93 = 616.08 : x
  2. Step 2: Convert to fraction form
    925.22/1,385.93 = 616.08/x
  3. Step 3: Cross multiply
    925.22x = 1,385.93 × 616.08
  4. Step 4: Simplify right side
    925.22x = 853,843.75
  5. Step 5: Solve for x
    x = 853,843.75/925.22
  6. Step 6: Final answer
    x = 922.85

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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.