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Finding the Fourth Proportional to 655.17, 981.23 and 329.75

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Solution

The fourth proportional to 655.17, 981.23 and 329.75 is: 493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.17 : 981.23 = 329.75 : x
  2. Step 2: Convert to fraction form
    655.17/981.23 = 329.75/x
  3. Step 3: Cross multiply
    655.17x = 981.23 × 329.75
  4. Step 4: Simplify right side
    655.17x = 323,560.59
  5. Step 5: Solve for x
    x = 323,560.59/655.17
  6. Step 6: Final answer
    x = 493.86

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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.