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Finding the Fourth Proportional to 465.46, 694.26 and 396.20

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Solution

The fourth proportional to 465.46, 694.26 and 396.20 is: 590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.46 : 694.26 = 396.20 : x
  2. Step 2: Convert to fraction form
    465.46/694.26 = 396.20/x
  3. Step 3: Cross multiply
    465.46x = 694.26 × 396.20
  4. Step 4: Simplify right side
    465.46x = 275,067.97
  5. Step 5: Solve for x
    x = 275,067.97/465.46
  6. Step 6: Final answer
    x = 590.96

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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.