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Finding the Fourth Proportional to 844.53, 1,265.99 and 267.27

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Solution

The fourth proportional to 844.53, 1,265.99 and 267.27 is: 400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.53 : 1,265.99 = 267.27 : x
  2. Step 2: Convert to fraction form
    844.53/1,265.99 = 267.27/x
  3. Step 3: Cross multiply
    844.53x = 1,265.99 × 267.27
  4. Step 4: Simplify right side
    844.53x = 338,359.81
  5. Step 5: Solve for x
    x = 338,359.81/844.53
  6. Step 6: Final answer
    x = 400.65

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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.