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Finding the Fourth Proportional to 439.26, 661.82 and 397.62

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Solution

The fourth proportional to 439.26, 661.82 and 397.62 is: 599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.26 : 661.82 = 397.62 : x
  2. Step 2: Convert to fraction form
    439.26/661.82 = 397.62/x
  3. Step 3: Cross multiply
    439.26x = 661.82 × 397.62
  4. Step 4: Simplify right side
    439.26x = 263,152.87
  5. Step 5: Solve for x
    x = 263,152.87/439.26
  6. Step 6: Final answer
    x = 599.08

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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.