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Finding the Fourth Proportional to 444.97, 613.96 and 320.91

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Solution

The fourth proportional to 444.97, 613.96 and 320.91 is: 442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.97 : 613.96 = 320.91 : x
  2. Step 2: Convert to fraction form
    444.97/613.96 = 320.91/x
  3. Step 3: Cross multiply
    444.97x = 613.96 × 320.91
  4. Step 4: Simplify right side
    444.97x = 197,025.90
  5. Step 5: Solve for x
    x = 197,025.90/444.97
  6. Step 6: Final answer
    x = 442.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.