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Finding the Fourth Proportional to 996.20, 1,491.92 and 789.40

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Solution

The fourth proportional to 996.20, 1,491.92 and 789.40 is: 1,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.20 : 1,491.92 = 789.40 : x
  2. Step 2: Convert to fraction form
    996.20/1,491.92 = 789.40/x
  3. Step 3: Cross multiply
    996.20x = 1,491.92 × 789.40
  4. Step 4: Simplify right side
    996.20x = 1,177,721.65
  5. Step 5: Solve for x
    x = 1,177,721.65/996.20
  6. Step 6: Final answer
    x = 1,182.21

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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.