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Finding the Fourth Proportional to 517.43, 713.72 and 342.83

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Solution

The fourth proportional to 517.43, 713.72 and 342.83 is: 472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.43 : 713.72 = 342.83 : x
  2. Step 2: Convert to fraction form
    517.43/713.72 = 342.83/x
  3. Step 3: Cross multiply
    517.43x = 713.72 × 342.83
  4. Step 4: Simplify right side
    517.43x = 244,679.34
  5. Step 5: Solve for x
    x = 244,679.34/517.43
  6. Step 6: Final answer
    x = 472.88

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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.