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Finding the Fourth Proportional to 754.88, 1,132.33 and 267.98

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Solution

The fourth proportional to 754.88, 1,132.33 and 267.98 is: 401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.88 : 1,132.33 = 267.98 : x
  2. Step 2: Convert to fraction form
    754.88/1,132.33 = 267.98/x
  3. Step 3: Cross multiply
    754.88x = 1,132.33 × 267.98
  4. Step 4: Simplify right side
    754.88x = 303,435.46
  5. Step 5: Solve for x
    x = 303,435.46/754.88
  6. Step 6: Final answer
    x = 401.96

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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.