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Finding the Fourth Proportional to 516.87, 772.20 and 408.74

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Solution

The fourth proportional to 516.87, 772.20 and 408.74 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.87 : 772.20 = 408.74 : x
  2. Step 2: Convert to fraction form
    516.87/772.20 = 408.74/x
  3. Step 3: Cross multiply
    516.87x = 772.20 × 408.74
  4. Step 4: Simplify right side
    516.87x = 315,625.17
  5. Step 5: Solve for x
    x = 315,625.17/516.87
  6. Step 6: Final answer
    x = 610.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.