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Finding the Fourth Proportional to 861.71, 1,189.08 and 488.57

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Solution

The fourth proportional to 861.71, 1,189.08 and 488.57 is: 674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.71 : 1,189.08 = 488.57 : x
  2. Step 2: Convert to fraction form
    861.71/1,189.08 = 488.57/x
  3. Step 3: Cross multiply
    861.71x = 1,189.08 × 488.57
  4. Step 4: Simplify right side
    861.71x = 580,942.87
  5. Step 5: Solve for x
    x = 580,942.87/861.71
  6. Step 6: Final answer
    x = 674.18

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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.