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Finding the Fourth Proportional to 444.16, 662.76 and 398

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Solution

The fourth proportional to 444.16, 662.76 and 398 is: 593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.16 : 662.76 = 398 : x
  2. Step 2: Convert to fraction form
    444.16/662.76 = 398/x
  3. Step 3: Cross multiply
    444.16x = 662.76 × 398
  4. Step 4: Simplify right side
    444.16x = 263,778.48
  5. Step 5: Solve for x
    x = 263,778.48/444.16
  6. Step 6: Final answer
    x = 593.88

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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.