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Finding the Fourth Proportional to 1,194.04, 1,645.50 and 861.85

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Solution

The fourth proportional to 1,194.04, 1,645.50 and 861.85 is: 1,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.04 : 1,645.50 = 861.85 : x
  2. Step 2: Convert to fraction form
    1,194.04/1,645.50 = 861.85/x
  3. Step 3: Cross multiply
    1,194.04x = 1,645.50 × 861.85
  4. Step 4: Simplify right side
    1,194.04x = 1,418,174.18
  5. Step 5: Solve for x
    x = 1,418,174.18/1,194.04
  6. Step 6: Final answer
    x = 1,187.71

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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.