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Finding the Fourth Proportional to 741.97, 1,113.09 and 331.10

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Solution

The fourth proportional to 741.97, 1,113.09 and 331.10 is: 496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.97 : 1,113.09 = 331.10 : x
  2. Step 2: Convert to fraction form
    741.97/1,113.09 = 331.10/x
  3. Step 3: Cross multiply
    741.97x = 1,113.09 × 331.10
  4. Step 4: Simplify right side
    741.97x = 368,542.44
  5. Step 5: Solve for x
    x = 368,542.44/741.97
  6. Step 6: Final answer
    x = 496.71

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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.