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Finding the Fourth Proportional to 861.43, 1,188.60 and 488.32

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Solution

The fourth proportional to 861.43, 1,188.60 and 488.32 is: 673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.43 : 1,188.60 = 488.32 : x
  2. Step 2: Convert to fraction form
    861.43/1,188.60 = 488.32/x
  3. Step 3: Cross multiply
    861.43x = 1,188.60 × 488.32
  4. Step 4: Simplify right side
    861.43x = 580,417.15
  5. Step 5: Solve for x
    x = 580,417.15/861.43
  6. Step 6: Final answer
    x = 673.78

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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.