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Finding the Fourth Proportional to 412.75, 616.85 and 331.21

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Solution

The fourth proportional to 412.75, 616.85 and 331.21 is: 494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.75 : 616.85 = 331.21 : x
  2. Step 2: Convert to fraction form
    412.75/616.85 = 331.21/x
  3. Step 3: Cross multiply
    412.75x = 616.85 × 331.21
  4. Step 4: Simplify right side
    412.75x = 204,306.89
  5. Step 5: Solve for x
    x = 204,306.89/412.75
  6. Step 6: Final answer
    x = 494.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.