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Finding the Fourth Proportional to 516.20, 775.08 and 408.44

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Solution

The fourth proportional to 516.20, 775.08 and 408.44 is: 613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 775.08 = 408.44 : x
  2. Step 2: Convert to fraction form
    516.20/775.08 = 408.44/x
  3. Step 3: Cross multiply
    516.20x = 775.08 × 408.44
  4. Step 4: Simplify right side
    516.20x = 316,573.68
  5. Step 5: Solve for x
    x = 316,573.68/516.20
  6. Step 6: Final answer
    x = 613.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.