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Finding the Fourth Proportional to 655.39, 982.41 and 411.37

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Solution

The fourth proportional to 655.39, 982.41 and 411.37 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.39 : 982.41 = 411.37 : x
  2. Step 2: Convert to fraction form
    655.39/982.41 = 411.37/x
  3. Step 3: Cross multiply
    655.39x = 982.41 × 411.37
  4. Step 4: Simplify right side
    655.39x = 404,134.00
  5. Step 5: Solve for x
    x = 404,134.00/655.39
  6. Step 6: Final answer
    x = 616.63

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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.