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Finding the Fourth Proportional to 844.70, 1,267.20 and 691.22

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Solution

The fourth proportional to 844.70, 1,267.20 and 691.22 is: 1,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.70 : 1,267.20 = 691.22 : x
  2. Step 2: Convert to fraction form
    844.70/1,267.20 = 691.22/x
  3. Step 3: Cross multiply
    844.70x = 1,267.20 × 691.22
  4. Step 4: Simplify right side
    844.70x = 875,917.15
  5. Step 5: Solve for x
    x = 875,917.15/844.70
  6. Step 6: Final answer
    x = 1,036.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.