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Finding the Fourth Proportional to 565.78, 781.14 and 356.24

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Solution

The fourth proportional to 565.78, 781.14 and 356.24 is: 491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 781.14 = 356.24 : x
  2. Step 2: Convert to fraction form
    565.78/781.14 = 356.24/x
  3. Step 3: Cross multiply
    565.78x = 781.14 × 356.24
  4. Step 4: Simplify right side
    565.78x = 278,273.31
  5. Step 5: Solve for x
    x = 278,273.31/565.78
  6. Step 6: Final answer
    x = 491.84

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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.