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Finding the Fourth Proportional to 517.35, 773.16 and 408

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Solution

The fourth proportional to 517.35, 773.16 and 408 is: 609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.35 : 773.16 = 408 : x
  2. Step 2: Convert to fraction form
    517.35/773.16 = 408/x
  3. Step 3: Cross multiply
    517.35x = 773.16 × 408
  4. Step 4: Simplify right side
    517.35x = 315,449.28
  5. Step 5: Solve for x
    x = 315,449.28/517.35
  6. Step 6: Final answer
    x = 609.74

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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.