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Finding the Fourth Proportional to 667.54, 1,001.16 and 180.59

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Solution

The fourth proportional to 667.54, 1,001.16 and 180.59 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.54 : 1,001.16 = 180.59 : x
  2. Step 2: Convert to fraction form
    667.54/1,001.16 = 180.59/x
  3. Step 3: Cross multiply
    667.54x = 1,001.16 × 180.59
  4. Step 4: Simplify right side
    667.54x = 180,799.48
  5. Step 5: Solve for x
    x = 180,799.48/667.54
  6. Step 6: Final answer
    x = 270.85

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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.