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Finding the Fourth Proportional to 517.52, 775.08 and 408.40

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Solution

The fourth proportional to 517.52, 775.08 and 408.40 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 775.08 = 408.40 : x
  2. Step 2: Convert to fraction form
    517.52/775.08 = 408.40/x
  3. Step 3: Cross multiply
    517.52x = 775.08 × 408.40
  4. Step 4: Simplify right side
    517.52x = 316,542.67
  5. Step 5: Solve for x
    x = 316,542.67/517.52
  6. Step 6: Final answer
    x = 611.65

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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.