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Finding the Fourth Proportional to 516.57, 708.91 and 512.92

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Solution

The fourth proportional to 516.57, 708.91 and 512.92 is: 703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 708.91 = 512.92 : x
  2. Step 2: Convert to fraction form
    516.57/708.91 = 512.92/x
  3. Step 3: Cross multiply
    516.57x = 708.91 × 512.92
  4. Step 4: Simplify right side
    516.57x = 363,611.55
  5. Step 5: Solve for x
    x = 363,611.55/516.57
  6. Step 6: Final answer
    x = 703.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.