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Finding the Fourth Proportional to 862.11, 1,189.62 and 489.11

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Solution

The fourth proportional to 862.11, 1,189.62 and 489.11 is: 674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.11 : 1,189.62 = 489.11 : x
  2. Step 2: Convert to fraction form
    862.11/1,189.62 = 489.11/x
  3. Step 3: Cross multiply
    862.11x = 1,189.62 × 489.11
  4. Step 4: Simplify right side
    862.11x = 581,849.09
  5. Step 5: Solve for x
    x = 581,849.09/862.11
  6. Step 6: Final answer
    x = 674.91

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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.