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Finding the Fourth Proportional to 667.71, 1,001.97 and 343.44

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Solution

The fourth proportional to 667.71, 1,001.97 and 343.44 is: 515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.71 : 1,001.97 = 343.44 : x
  2. Step 2: Convert to fraction form
    667.71/1,001.97 = 343.44/x
  3. Step 3: Cross multiply
    667.71x = 1,001.97 × 343.44
  4. Step 4: Simplify right side
    667.71x = 344,116.58
  5. Step 5: Solve for x
    x = 344,116.58/667.71
  6. Step 6: Final answer
    x = 515.37

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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.