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Finding the Fourth Proportional to 439.32, 661.91 and 397.68

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Solution

The fourth proportional to 439.32, 661.91 and 397.68 is: 599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.32 : 661.91 = 397.68 : x
  2. Step 2: Convert to fraction form
    439.32/661.91 = 397.68/x
  3. Step 3: Cross multiply
    439.32x = 661.91 × 397.68
  4. Step 4: Simplify right side
    439.32x = 263,229.20
  5. Step 5: Solve for x
    x = 263,229.20/439.32
  6. Step 6: Final answer
    x = 599.17

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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.