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Finding the Fourth Proportional to 599.26, 825.96 and 422.29

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Solution

The fourth proportional to 599.26, 825.96 and 422.29 is: 582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.26 : 825.96 = 422.29 : x
  2. Step 2: Convert to fraction form
    599.26/825.96 = 422.29/x
  3. Step 3: Cross multiply
    599.26x = 825.96 × 422.29
  4. Step 4: Simplify right side
    599.26x = 348,794.65
  5. Step 5: Solve for x
    x = 348,794.65/599.26
  6. Step 6: Final answer
    x = 582.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.