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Finding the Fourth Proportional to 655.97, 984.86 and 331.56

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Solution

The fourth proportional to 655.97, 984.86 and 331.56 is: 497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.97 : 984.86 = 331.56 : x
  2. Step 2: Convert to fraction form
    655.97/984.86 = 331.56/x
  3. Step 3: Cross multiply
    655.97x = 984.86 × 331.56
  4. Step 4: Simplify right side
    655.97x = 326,539.77
  5. Step 5: Solve for x
    x = 326,539.77/655.97
  6. Step 6: Final answer
    x = 497.80

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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.