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Finding the Fourth Proportional to 667.71, 1,001.52 and 234.86

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Solution

The fourth proportional to 667.71, 1,001.52 and 234.86 is: 352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.71 : 1,001.52 = 234.86 : x
  2. Step 2: Convert to fraction form
    667.71/1,001.52 = 234.86/x
  3. Step 3: Cross multiply
    667.71x = 1,001.52 × 234.86
  4. Step 4: Simplify right side
    667.71x = 235,211.98
  5. Step 5: Solve for x
    x = 235,211.98/667.71
  6. Step 6: Final answer
    x = 352.27

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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.