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Finding the Fourth Proportional to 452.52, 673.99 and 447.12

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Solution

The fourth proportional to 452.52, 673.99 and 447.12 is: 665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.52 : 673.99 = 447.12 : x
  2. Step 2: Convert to fraction form
    452.52/673.99 = 447.12/x
  3. Step 3: Cross multiply
    452.52x = 673.99 × 447.12
  4. Step 4: Simplify right side
    452.52x = 301,353.29
  5. Step 5: Solve for x
    x = 301,353.29/452.52
  6. Step 6: Final answer
    x = 665.94

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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.