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Finding the Fourth Proportional to 516.87, 713.47 and 342.27

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Solution

The fourth proportional to 516.87, 713.47 and 342.27 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.87 : 713.47 = 342.27 : x
  2. Step 2: Convert to fraction form
    516.87/713.47 = 342.27/x
  3. Step 3: Cross multiply
    516.87x = 713.47 × 342.27
  4. Step 4: Simplify right side
    516.87x = 244,202.02
  5. Step 5: Solve for x
    x = 244,202.02/516.87
  6. Step 6: Final answer
    x = 472.46

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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.