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Finding the Fourth Proportional to 655.91, 983.96 and 381.86

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Solution

The fourth proportional to 655.91, 983.96 and 381.86 is: 572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.91 : 983.96 = 381.86 : x
  2. Step 2: Convert to fraction form
    655.91/983.96 = 381.86/x
  3. Step 3: Cross multiply
    655.91x = 983.96 × 381.86
  4. Step 4: Simplify right side
    655.91x = 375,734.97
  5. Step 5: Solve for x
    x = 375,734.97/655.91
  6. Step 6: Final answer
    x = 572.85

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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.