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Finding the Fourth Proportional to 667.45, 1,001.06 and 180.54

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Solution

The fourth proportional to 667.45, 1,001.06 and 180.54 is: 270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.45 : 1,001.06 = 180.54 : x
  2. Step 2: Convert to fraction form
    667.45/1,001.06 = 180.54/x
  3. Step 3: Cross multiply
    667.45x = 1,001.06 × 180.54
  4. Step 4: Simplify right side
    667.45x = 180,728.76
  5. Step 5: Solve for x
    x = 180,728.76/667.45
  6. Step 6: Final answer
    x = 270.78

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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.