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Finding the Fourth Proportional to 667.49, 1,001.14 and 180.50

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Solution

The fourth proportional to 667.49, 1,001.14 and 180.50 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.49 : 1,001.14 = 180.50 : x
  2. Step 2: Convert to fraction form
    667.49/1,001.14 = 180.50/x
  3. Step 3: Cross multiply
    667.49x = 1,001.14 × 180.50
  4. Step 4: Simplify right side
    667.49x = 180,700.31
  5. Step 5: Solve for x
    x = 180,700.31/667.49
  6. Step 6: Final answer
    x = 270.72

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Double scale
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1.5x scale

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.