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Finding the Fourth Proportional to 565.92, 781.54 and 504.80

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Solution

The fourth proportional to 565.92, 781.54 and 504.80 is: 697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 781.54 = 504.80 : x
  2. Step 2: Convert to fraction form
    565.92/781.54 = 504.80/x
  3. Step 3: Cross multiply
    565.92x = 781.54 × 504.80
  4. Step 4: Simplify right side
    565.92x = 394,521.39
  5. Step 5: Solve for x
    x = 394,521.39/565.92
  6. Step 6: Final answer
    x = 697.13

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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.