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Finding the Fourth Proportional to 452.48, 674.92 and 422.24

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Solution

The fourth proportional to 452.48, 674.92 and 422.24 is: 629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.48 : 674.92 = 422.24 : x
  2. Step 2: Convert to fraction form
    452.48/674.92 = 422.24/x
  3. Step 3: Cross multiply
    452.48x = 674.92 × 422.24
  4. Step 4: Simplify right side
    452.48x = 284,978.22
  5. Step 5: Solve for x
    x = 284,978.22/452.48
  6. Step 6: Final answer
    x = 629.81

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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.