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Finding the Fourth Proportional to 765.92, 1,147.76 and 560.96

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Solution

The fourth proportional to 765.92, 1,147.76 and 560.96 is: 840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.92 : 1,147.76 = 560.96 : x
  2. Step 2: Convert to fraction form
    765.92/1,147.76 = 560.96/x
  3. Step 3: Cross multiply
    765.92x = 1,147.76 × 560.96
  4. Step 4: Simplify right side
    765.92x = 643,847.45
  5. Step 5: Solve for x
    x = 643,847.45/765.92
  6. Step 6: Final answer
    x = 840.62

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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.