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Finding the Fourth Proportional to 517.38, 772.82 and 439.98

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Solution

The fourth proportional to 517.38, 772.82 and 439.98 is: 657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 772.82 = 439.98 : x
  2. Step 2: Convert to fraction form
    517.38/772.82 = 439.98/x
  3. Step 3: Cross multiply
    517.38x = 772.82 × 439.98
  4. Step 4: Simplify right side
    517.38x = 340,023.14
  5. Step 5: Solve for x
    x = 340,023.14/517.38
  6. Step 6: Final answer
    x = 657.20

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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.