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Finding the Fourth Proportional to 412.62, 616.20 and 391.56

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Solution

The fourth proportional to 412.62, 616.20 and 391.56 is: 584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.62 : 616.20 = 391.56 : x
  2. Step 2: Convert to fraction form
    412.62/616.20 = 391.56/x
  3. Step 3: Cross multiply
    412.62x = 616.20 × 391.56
  4. Step 4: Simplify right side
    412.62x = 241,279.27
  5. Step 5: Solve for x
    x = 241,279.27/412.62
  6. Step 6: Final answer
    x = 584.75

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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.