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Finding the Fourth Proportional to 565.78, 781.09 and 379.52

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Solution

The fourth proportional to 565.78, 781.09 and 379.52 is: 523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 781.09 = 379.52 : x
  2. Step 2: Convert to fraction form
    565.78/781.09 = 379.52/x
  3. Step 3: Cross multiply
    565.78x = 781.09 × 379.52
  4. Step 4: Simplify right side
    565.78x = 296,439.28
  5. Step 5: Solve for x
    x = 296,439.28/565.78
  6. Step 6: Final answer
    x = 523.95

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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.