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Finding the Fourth Proportional to 787.27, 1,087.76 and 565.78

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Solution

The fourth proportional to 787.27, 1,087.76 and 565.78 is: 781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.27 : 1,087.76 = 565.78 : x
  2. Step 2: Convert to fraction form
    787.27/1,087.76 = 565.78/x
  3. Step 3: Cross multiply
    787.27x = 1,087.76 × 565.78
  4. Step 4: Simplify right side
    787.27x = 615,432.85
  5. Step 5: Solve for x
    x = 615,432.85/787.27
  6. Step 6: Final answer
    x = 781.73

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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.