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Finding the Fourth Proportional to 925.60, 1,385.91 and 764.02

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Solution

The fourth proportional to 925.60, 1,385.91 and 764.02 is: 1,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.60 : 1,385.91 = 764.02 : x
  2. Step 2: Convert to fraction form
    925.60/1,385.91 = 764.02/x
  3. Step 3: Cross multiply
    925.60x = 1,385.91 × 764.02
  4. Step 4: Simplify right side
    925.60x = 1,058,862.96
  5. Step 5: Solve for x
    x = 1,058,862.96/925.60
  6. Step 6: Final answer
    x = 1,143.97

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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.