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Finding the Fourth Proportional to 655.03, 982.92 and 264.97

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Solution

The fourth proportional to 655.03, 982.92 and 264.97 is: 397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.03 : 982.92 = 264.97 : x
  2. Step 2: Convert to fraction form
    655.03/982.92 = 264.97/x
  3. Step 3: Cross multiply
    655.03x = 982.92 × 264.97
  4. Step 4: Simplify right side
    655.03x = 260,444.31
  5. Step 5: Solve for x
    x = 260,444.31/655.03
  6. Step 6: Final answer
    x = 397.61

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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.