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Finding the Fourth Proportional to 517.27, 775.72 and 414.31

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Solution

The fourth proportional to 517.27, 775.72 and 414.31 is: 621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.27 : 775.72 = 414.31 : x
  2. Step 2: Convert to fraction form
    517.27/775.72 = 414.31/x
  3. Step 3: Cross multiply
    517.27x = 775.72 × 414.31
  4. Step 4: Simplify right side
    517.27x = 321,388.55
  5. Step 5: Solve for x
    x = 321,388.55/517.27
  6. Step 6: Final answer
    x = 621.32

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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.