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Finding the Fourth Proportional to 422.08, 632.36 and 396.67

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Solution

The fourth proportional to 422.08, 632.36 and 396.67 is: 594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.08 : 632.36 = 396.67 : x
  2. Step 2: Convert to fraction form
    422.08/632.36 = 396.67/x
  3. Step 3: Cross multiply
    422.08x = 632.36 × 396.67
  4. Step 4: Simplify right side
    422.08x = 250,837.65
  5. Step 5: Solve for x
    x = 250,837.65/422.08
  6. Step 6: Final answer
    x = 594.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.