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Finding the Fourth Proportional to 655.72, 982.86 and 308.55

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Solution

The fourth proportional to 655.72, 982.86 and 308.55 is: 462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.72 : 982.86 = 308.55 : x
  2. Step 2: Convert to fraction form
    655.72/982.86 = 308.55/x
  3. Step 3: Cross multiply
    655.72x = 982.86 × 308.55
  4. Step 4: Simplify right side
    655.72x = 303,261.45
  5. Step 5: Solve for x
    x = 303,261.45/655.72
  6. Step 6: Final answer
    x = 462.49

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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.