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Finding the Fourth Proportional to 1,226.06, 1,691.79 and 872.90

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Solution

The fourth proportional to 1,226.06, 1,691.79 and 872.90 is: 1,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.06 : 1,691.79 = 872.90 : x
  2. Step 2: Convert to fraction form
    1,226.06/1,691.79 = 872.90/x
  3. Step 3: Cross multiply
    1,226.06x = 1,691.79 × 872.90
  4. Step 4: Simplify right side
    1,226.06x = 1,476,763.49
  5. Step 5: Solve for x
    x = 1,476,763.49/1,226.06
  6. Step 6: Final answer
    x = 1,204.48

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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.