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Finding the Fourth Proportional to 490.62, 677.17 and 315.66

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Solution

The fourth proportional to 490.62, 677.17 and 315.66 is: 435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.62 : 677.17 = 315.66 : x
  2. Step 2: Convert to fraction form
    490.62/677.17 = 315.66/x
  3. Step 3: Cross multiply
    490.62x = 677.17 × 315.66
  4. Step 4: Simplify right side
    490.62x = 213,753.90
  5. Step 5: Solve for x
    x = 213,753.90/490.62
  6. Step 6: Final answer
    x = 435.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.