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Finding the Fourth Proportional to 843.64, 1,265.86 and 381.74

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Solution

The fourth proportional to 843.64, 1,265.86 and 381.74 is: 572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.64 : 1,265.86 = 381.74 : x
  2. Step 2: Convert to fraction form
    843.64/1,265.86 = 381.74/x
  3. Step 3: Cross multiply
    843.64x = 1,265.86 × 381.74
  4. Step 4: Simplify right side
    843.64x = 483,229.40
  5. Step 5: Solve for x
    x = 483,229.40/843.64
  6. Step 6: Final answer
    x = 572.79

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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.