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Finding the Fourth Proportional to 452.05, 674.11 and 447.94

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Solution

The fourth proportional to 452.05, 674.11 and 447.94 is: 667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.05 : 674.11 = 447.94 : x
  2. Step 2: Convert to fraction form
    452.05/674.11 = 447.94/x
  3. Step 3: Cross multiply
    452.05x = 674.11 × 447.94
  4. Step 4: Simplify right side
    452.05x = 301,962.24
  5. Step 5: Solve for x
    x = 301,962.24/452.05
  6. Step 6: Final answer
    x = 667.99

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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.