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Finding the Fourth Proportional to 439.53, 662.22 and 397.86

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Solution

The fourth proportional to 439.53, 662.22 and 397.86 is: 599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.53 : 662.22 = 397.86 : x
  2. Step 2: Convert to fraction form
    439.53/662.22 = 397.86/x
  3. Step 3: Cross multiply
    439.53x = 662.22 × 397.86
  4. Step 4: Simplify right side
    439.53x = 263,470.85
  5. Step 5: Solve for x
    x = 263,470.85/439.53
  6. Step 6: Final answer
    x = 599.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.