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Finding the Fourth Proportional to 667.32, 1,001.15 and 234.51

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Solution

The fourth proportional to 667.32, 1,001.15 and 234.51 is: 351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.32 : 1,001.15 = 234.51 : x
  2. Step 2: Convert to fraction form
    667.32/1,001.15 = 234.51/x
  3. Step 3: Cross multiply
    667.32x = 1,001.15 × 234.51
  4. Step 4: Simplify right side
    667.32x = 234,778.51
  5. Step 5: Solve for x
    x = 234,778.51/667.32
  6. Step 6: Final answer
    x = 351.82

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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.