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Finding the Fourth Proportional to 441.92, 605.97 and 426.47

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Solution

The fourth proportional to 441.92, 605.97 and 426.47 is: 584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 605.97 = 426.47 : x
  2. Step 2: Convert to fraction form
    441.92/605.97 = 426.47/x
  3. Step 3: Cross multiply
    441.92x = 605.97 × 426.47
  4. Step 4: Simplify right side
    441.92x = 258,425.00
  5. Step 5: Solve for x
    x = 258,425.00/441.92
  6. Step 6: Final answer
    x = 584.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.