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Finding the Fourth Proportional to 843.17, 1,163.52 and 489.03

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Solution

The fourth proportional to 843.17, 1,163.52 and 489.03 is: 674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.17 : 1,163.52 = 489.03 : x
  2. Step 2: Convert to fraction form
    843.17/1,163.52 = 489.03/x
  3. Step 3: Cross multiply
    843.17x = 1,163.52 × 489.03
  4. Step 4: Simplify right side
    843.17x = 568,996.19
  5. Step 5: Solve for x
    x = 568,996.19/843.17
  6. Step 6: Final answer
    x = 674.83

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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.