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Finding the Fourth Proportional to 517.31, 713.89 and 284.44

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Solution

The fourth proportional to 517.31, 713.89 and 284.44 is: 392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.31 : 713.89 = 284.44 : x
  2. Step 2: Convert to fraction form
    517.31/713.89 = 284.44/x
  3. Step 3: Cross multiply
    517.31x = 713.89 × 284.44
  4. Step 4: Simplify right side
    517.31x = 203,058.87
  5. Step 5: Solve for x
    x = 203,058.87/517.31
  6. Step 6: Final answer
    x = 392.53

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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.