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Finding the Fourth Proportional to 861.56, 1,187.25 and 612.45

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Solution

The fourth proportional to 861.56, 1,187.25 and 612.45 is: 843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.56 : 1,187.25 = 612.45 : x
  2. Step 2: Convert to fraction form
    861.56/1,187.25 = 612.45/x
  3. Step 3: Cross multiply
    861.56x = 1,187.25 × 612.45
  4. Step 4: Simplify right side
    861.56x = 727,131.26
  5. Step 5: Solve for x
    x = 727,131.26/861.56
  6. Step 6: Final answer
    x = 843.97

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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.