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Finding the Fourth Proportional to 843.18, 1,163.39 and 489.16

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Solution

The fourth proportional to 843.18, 1,163.39 and 489.16 is: 674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.18 : 1,163.39 = 489.16 : x
  2. Step 2: Convert to fraction form
    843.18/1,163.39 = 489.16/x
  3. Step 3: Cross multiply
    843.18x = 1,163.39 × 489.16
  4. Step 4: Simplify right side
    843.18x = 569,078.04
  5. Step 5: Solve for x
    x = 569,078.04/843.18
  6. Step 6: Final answer
    x = 674.92

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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.