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Finding the Fourth Proportional to 452.30, 674.22 and 447.44

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Solution

The fourth proportional to 452.30, 674.22 and 447.44 is: 666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 674.22 = 447.44 : x
  2. Step 2: Convert to fraction form
    452.30/674.22 = 447.44/x
  3. Step 3: Cross multiply
    452.30x = 674.22 × 447.44
  4. Step 4: Simplify right side
    452.30x = 301,669.63
  5. Step 5: Solve for x
    x = 301,669.63/452.30
  6. Step 6: Final answer
    x = 666.98

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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.