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Finding the Fourth Proportional to 655.97, 983.96 and 271.22

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Solution

The fourth proportional to 655.97, 983.96 and 271.22 is: 406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.97 : 983.96 = 271.22 : x
  2. Step 2: Convert to fraction form
    655.97/983.96 = 271.22/x
  3. Step 3: Cross multiply
    655.97x = 983.96 × 271.22
  4. Step 4: Simplify right side
    655.97x = 266,863.36
  5. Step 5: Solve for x
    x = 266,863.36/655.97
  6. Step 6: Final answer
    x = 406.83

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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.