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Finding the Fourth Proportional to 451.64, 674.19 and 396.97

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Solution

The fourth proportional to 451.64, 674.19 and 396.97 is: 592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.64 : 674.19 = 396.97 : x
  2. Step 2: Convert to fraction form
    451.64/674.19 = 396.97/x
  3. Step 3: Cross multiply
    451.64x = 674.19 × 396.97
  4. Step 4: Simplify right side
    451.64x = 267,627.85
  5. Step 5: Solve for x
    x = 267,627.85/451.64
  6. Step 6: Final answer
    x = 592.57

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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.