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Finding the Fourth Proportional to 746.92, 1,121.07 and 381.97

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Solution

The fourth proportional to 746.92, 1,121.07 and 381.97 is: 573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.92 : 1,121.07 = 381.97 : x
  2. Step 2: Convert to fraction form
    746.92/1,121.07 = 381.97/x
  3. Step 3: Cross multiply
    746.92x = 1,121.07 × 381.97
  4. Step 4: Simplify right side
    746.92x = 428,215.11
  5. Step 5: Solve for x
    x = 428,215.11/746.92
  6. Step 6: Final answer
    x = 573.31

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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.