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Finding the Fourth Proportional to 844.49, 1,263.99 and 727.85

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Solution

The fourth proportional to 844.49, 1,263.99 and 727.85 is: 1,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.49 : 1,263.99 = 727.85 : x
  2. Step 2: Convert to fraction form
    844.49/1,263.99 = 727.85/x
  3. Step 3: Cross multiply
    844.49x = 1,263.99 × 727.85
  4. Step 4: Simplify right side
    844.49x = 919,995.12
  5. Step 5: Solve for x
    x = 919,995.12/844.49
  6. Step 6: Final answer
    x = 1,089.41

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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.