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Finding the Fourth Proportional to 655.81, 984.11 and 331.21

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Solution

The fourth proportional to 655.81, 984.11 and 331.21 is: 497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.81 : 984.11 = 331.21 : x
  2. Step 2: Convert to fraction form
    655.81/984.11 = 331.21/x
  3. Step 3: Cross multiply
    655.81x = 984.11 × 331.21
  4. Step 4: Simplify right side
    655.81x = 325,947.07
  5. Step 5: Solve for x
    x = 325,947.07/655.81
  6. Step 6: Final answer
    x = 497.01

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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.