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Finding the Fourth Proportional to 655.75, 982.81 and 331.21

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Solution

The fourth proportional to 655.75, 982.81 and 331.21 is: 496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.75 : 982.81 = 331.21 : x
  2. Step 2: Convert to fraction form
    655.75/982.81 = 331.21/x
  3. Step 3: Cross multiply
    655.75x = 982.81 × 331.21
  4. Step 4: Simplify right side
    655.75x = 325,509.93
  5. Step 5: Solve for x
    x = 325,509.93/655.75
  6. Step 6: Final answer
    x = 496.40

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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.