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Finding the Fourth Proportional to 565.78, 781.23 and 379.43

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Solution

The fourth proportional to 565.78, 781.23 and 379.43 is: 523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 781.23 = 379.43 : x
  2. Step 2: Convert to fraction form
    565.78/781.23 = 379.43/x
  3. Step 3: Cross multiply
    565.78x = 781.23 × 379.43
  4. Step 4: Simplify right side
    565.78x = 296,420.20
  5. Step 5: Solve for x
    x = 296,420.20/565.78
  6. Step 6: Final answer
    x = 523.91

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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.