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Finding the Fourth Proportional to 843.68, 1,265.34 and 381.44

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Solution

The fourth proportional to 843.68, 1,265.34 and 381.44 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.68 : 1,265.34 = 381.44 : x
  2. Step 2: Convert to fraction form
    843.68/1,265.34 = 381.44/x
  3. Step 3: Cross multiply
    843.68x = 1,265.34 × 381.44
  4. Step 4: Simplify right side
    843.68x = 482,651.29
  5. Step 5: Solve for x
    x = 482,651.29/843.68
  6. Step 6: Final answer
    x = 572.08

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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.