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Finding the Fourth Proportional to 447.20, 613.84 and 396.98

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Solution

The fourth proportional to 447.20, 613.84 and 396.98 is: 544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.20 : 613.84 = 396.98 : x
  2. Step 2: Convert to fraction form
    447.20/613.84 = 396.98/x
  3. Step 3: Cross multiply
    447.20x = 613.84 × 396.98
  4. Step 4: Simplify right side
    447.20x = 243,679.53
  5. Step 5: Solve for x
    x = 243,679.53/447.20
  6. Step 6: Final answer
    x = 544.91

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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.