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Finding the Fourth Proportional to 1,187.13, 1,638.45 and 872.85

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Solution

The fourth proportional to 1,187.13, 1,638.45 and 872.85 is: 1,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.13 : 1,638.45 = 872.85 : x
  2. Step 2: Convert to fraction form
    1,187.13/1,638.45 = 872.85/x
  3. Step 3: Cross multiply
    1,187.13x = 1,638.45 × 872.85
  4. Step 4: Simplify right side
    1,187.13x = 1,430,121.08
  5. Step 5: Solve for x
    x = 1,430,121.08/1,187.13
  6. Step 6: Final answer
    x = 1,204.69

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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.