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Finding the Fourth Proportional to 861.46, 1,189.30 and 659.19

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Solution

The fourth proportional to 861.46, 1,189.30 and 659.19 is: 910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.46 : 1,189.30 = 659.19 : x
  2. Step 2: Convert to fraction form
    861.46/1,189.30 = 659.19/x
  3. Step 3: Cross multiply
    861.46x = 1,189.30 × 659.19
  4. Step 4: Simplify right side
    861.46x = 783,977.72
  5. Step 5: Solve for x
    x = 783,977.72/861.46
  6. Step 6: Final answer
    x = 910.06

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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.