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Finding the Fourth Proportional to 844.73, 1,265.13 and 815.54

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Solution

The fourth proportional to 844.73, 1,265.13 and 815.54 is: 1,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.73 : 1,265.13 = 815.54 : x
  2. Step 2: Convert to fraction form
    844.73/1,265.13 = 815.54/x
  3. Step 3: Cross multiply
    844.73x = 1,265.13 × 815.54
  4. Step 4: Simplify right side
    844.73x = 1,031,757.79
  5. Step 5: Solve for x
    x = 1,031,757.79/844.73
  6. Step 6: Final answer
    x = 1,221.41

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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.