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Finding the Fourth Proportional to 524.78, 781.31 and 517.51

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Solution

The fourth proportional to 524.78, 781.31 and 517.51 is: 770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.78 : 781.31 = 517.51 : x
  2. Step 2: Convert to fraction form
    524.78/781.31 = 517.51/x
  3. Step 3: Cross multiply
    524.78x = 781.31 × 517.51
  4. Step 4: Simplify right side
    524.78x = 404,335.74
  5. Step 5: Solve for x
    x = 404,335.74/524.78
  6. Step 6: Final answer
    x = 770.49

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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.