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Finding the Fourth Proportional to 742.97, 1,119.37 and 672.71

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Solution

The fourth proportional to 742.97, 1,119.37 and 672.71 is: 1,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.97 : 1,119.37 = 672.71 : x
  2. Step 2: Convert to fraction form
    742.97/1,119.37 = 672.71/x
  3. Step 3: Cross multiply
    742.97x = 1,119.37 × 672.71
  4. Step 4: Simplify right side
    742.97x = 753,005.38
  5. Step 5: Solve for x
    x = 753,005.38/742.97
  6. Step 6: Final answer
    x = 1,013.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.