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Finding the Fourth Proportional to 655.79, 984.12 and 271.04

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Solution

The fourth proportional to 655.79, 984.12 and 271.04 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.79 : 984.12 = 271.04 : x
  2. Step 2: Convert to fraction form
    655.79/984.12 = 271.04/x
  3. Step 3: Cross multiply
    655.79x = 984.12 × 271.04
  4. Step 4: Simplify right side
    655.79x = 266,730.96
  5. Step 5: Solve for x
    x = 266,730.96/655.79
  6. Step 6: Final answer
    x = 406.74

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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.