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Finding the Fourth Proportional to 502.22, 691.97 and 375.66

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Solution

The fourth proportional to 502.22, 691.97 and 375.66 is: 517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.22 : 691.97 = 375.66 : x
  2. Step 2: Convert to fraction form
    502.22/691.97 = 375.66/x
  3. Step 3: Cross multiply
    502.22x = 691.97 × 375.66
  4. Step 4: Simplify right side
    502.22x = 259,943.57
  5. Step 5: Solve for x
    x = 259,943.57/502.22
  6. Step 6: Final answer
    x = 517.59

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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.