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Finding the Fourth Proportional to 843.86, 1,265.41 and 381.62

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Solution

The fourth proportional to 843.86, 1,265.41 and 381.62 is: 572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.86 : 1,265.41 = 381.62 : x
  2. Step 2: Convert to fraction form
    843.86/1,265.41 = 381.62/x
  3. Step 3: Cross multiply
    843.86x = 1,265.41 × 381.62
  4. Step 4: Simplify right side
    843.86x = 482,903.36
  5. Step 5: Solve for x
    x = 482,903.36/843.86
  6. Step 6: Final answer
    x = 572.26

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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.