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Finding the Fourth Proportional to 844.27, 1,265.53 and 324.15

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Solution

The fourth proportional to 844.27, 1,265.53 and 324.15 is: 485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.27 : 1,265.53 = 324.15 : x
  2. Step 2: Convert to fraction form
    844.27/1,265.53 = 324.15/x
  3. Step 3: Cross multiply
    844.27x = 1,265.53 × 324.15
  4. Step 4: Simplify right side
    844.27x = 410,221.55
  5. Step 5: Solve for x
    x = 410,221.55/844.27
  6. Step 6: Final answer
    x = 485.89

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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.