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Finding the Fourth Proportional to 565.28, 778.75 and 531.26

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Solution

The fourth proportional to 565.28, 778.75 and 531.26 is: 731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.28 : 778.75 = 531.26 : x
  2. Step 2: Convert to fraction form
    565.28/778.75 = 531.26/x
  3. Step 3: Cross multiply
    565.28x = 778.75 × 531.26
  4. Step 4: Simplify right side
    565.28x = 413,713.50
  5. Step 5: Solve for x
    x = 413,713.50/565.28
  6. Step 6: Final answer
    x = 731.88

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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.