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Finding the Fourth Proportional to 844.72, 1,267.09 and 296.78

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Solution

The fourth proportional to 844.72, 1,267.09 and 296.78 is: 445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.72 : 1,267.09 = 296.78 : x
  2. Step 2: Convert to fraction form
    844.72/1,267.09 = 296.78/x
  3. Step 3: Cross multiply
    844.72x = 1,267.09 × 296.78
  4. Step 4: Simplify right side
    844.72x = 376,046.97
  5. Step 5: Solve for x
    x = 376,046.97/844.72
  6. Step 6: Final answer
    x = 445.17

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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.