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Finding the Fourth Proportional to 981.75, 1,474.67 and 827.97

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Solution

The fourth proportional to 981.75, 1,474.67 and 827.97 is: 1,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.75 : 1,474.67 = 827.97 : x
  2. Step 2: Convert to fraction form
    981.75/1,474.67 = 827.97/x
  3. Step 3: Cross multiply
    981.75x = 1,474.67 × 827.97
  4. Step 4: Simplify right side
    981.75x = 1,220,982.52
  5. Step 5: Solve for x
    x = 1,220,982.52/981.75
  6. Step 6: Final answer
    x = 1,243.68

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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.