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Finding the Fourth Proportional to 744, 1,115.68 and 281.70

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Solution

The fourth proportional to 744, 1,115.68 and 281.70 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    744 : 1,115.68 = 281.70 : x
  2. Step 2: Convert to fraction form
    744/1,115.68 = 281.70/x
  3. Step 3: Cross multiply
    744x = 1,115.68 × 281.70
  4. Step 4: Simplify right side
    744x = 314,287.06
  5. Step 5: Solve for x
    x = 314,287.06/744
  6. Step 6: Final answer
    x = 422.43

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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.