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Finding the Fourth Proportional to 524.47, 781.92 and 517.99

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Solution

The fourth proportional to 524.47, 781.92 and 517.99 is: 772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.47 : 781.92 = 517.99 : x
  2. Step 2: Convert to fraction form
    524.47/781.92 = 517.99/x
  3. Step 3: Cross multiply
    524.47x = 781.92 × 517.99
  4. Step 4: Simplify right side
    524.47x = 405,026.74
  5. Step 5: Solve for x
    x = 405,026.74/524.47
  6. Step 6: Final answer
    x = 772.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.