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Finding the Fourth Proportional to 746.97, 1,120.71 and 381.45

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Solution

The fourth proportional to 746.97, 1,120.71 and 381.45 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.97 : 1,120.71 = 381.45 : x
  2. Step 2: Convert to fraction form
    746.97/1,120.71 = 381.45/x
  3. Step 3: Cross multiply
    746.97x = 1,120.71 × 381.45
  4. Step 4: Simplify right side
    746.97x = 427,494.83
  5. Step 5: Solve for x
    x = 427,494.83/746.97
  6. Step 6: Final answer
    x = 572.31

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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.