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Finding the Fourth Proportional to 861.37, 1,187.66 and 703.42

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Solution

The fourth proportional to 861.37, 1,187.66 and 703.42 is: 969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.37 : 1,187.66 = 703.42 : x
  2. Step 2: Convert to fraction form
    861.37/1,187.66 = 703.42/x
  3. Step 3: Cross multiply
    861.37x = 1,187.66 × 703.42
  4. Step 4: Simplify right side
    861.37x = 835,422.59
  5. Step 5: Solve for x
    x = 835,422.59/861.37
  6. Step 6: Final answer
    x = 969.88

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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.