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Finding the Fourth Proportional to 925.20, 1,277.87 and 593.91

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Solution

The fourth proportional to 925.20, 1,277.87 and 593.91 is: 820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.20 : 1,277.87 = 593.91 : x
  2. Step 2: Convert to fraction form
    925.20/1,277.87 = 593.91/x
  3. Step 3: Cross multiply
    925.20x = 1,277.87 × 593.91
  4. Step 4: Simplify right side
    925.20x = 758,936.80
  5. Step 5: Solve for x
    x = 758,936.80/925.20
  6. Step 6: Final answer
    x = 820.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.