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Finding the Fourth Proportional to 997.11, 1,375.38 and 833.49

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Solution

The fourth proportional to 997.11, 1,375.38 and 833.49 is: 1,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.11 : 1,375.38 = 833.49 : x
  2. Step 2: Convert to fraction form
    997.11/1,375.38 = 833.49/x
  3. Step 3: Cross multiply
    997.11x = 1,375.38 × 833.49
  4. Step 4: Simplify right side
    997.11x = 1,146,365.48
  5. Step 5: Solve for x
    x = 1,146,365.48/997.11
  6. Step 6: Final answer
    x = 1,149.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.