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Finding the Fourth Proportional to 516.89, 713.29 and 280.83

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Solution

The fourth proportional to 516.89, 713.29 and 280.83 is: 387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 713.29 = 280.83 : x
  2. Step 2: Convert to fraction form
    516.89/713.29 = 280.83/x
  3. Step 3: Cross multiply
    516.89x = 713.29 × 280.83
  4. Step 4: Simplify right side
    516.89x = 200,309.66
  5. Step 5: Solve for x
    x = 200,309.66/516.89
  6. Step 6: Final answer
    x = 387.53

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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.