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Finding the Fourth Proportional to 996.04, 1,493.79 and 447.90

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Solution

The fourth proportional to 996.04, 1,493.79 and 447.90 is: 671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.04 : 1,493.79 = 447.90 : x
  2. Step 2: Convert to fraction form
    996.04/1,493.79 = 447.90/x
  3. Step 3: Cross multiply
    996.04x = 1,493.79 × 447.90
  4. Step 4: Simplify right side
    996.04x = 669,068.54
  5. Step 5: Solve for x
    x = 669,068.54/996.04
  6. Step 6: Final answer
    x = 671.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.