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Finding the Fourth Proportional to 861.77, 1,189.19 and 488.72

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Solution

The fourth proportional to 861.77, 1,189.19 and 488.72 is: 674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.77 : 1,189.19 = 488.72 : x
  2. Step 2: Convert to fraction form
    861.77/1,189.19 = 488.72/x
  3. Step 3: Cross multiply
    861.77x = 1,189.19 × 488.72
  4. Step 4: Simplify right side
    861.77x = 581,185.13
  5. Step 5: Solve for x
    x = 581,185.13/861.77
  6. Step 6: Final answer
    x = 674.41

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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.