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Finding the Fourth Proportional to 996.19, 1,493.91 and 448.09

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Solution

The fourth proportional to 996.19, 1,493.91 and 448.09 is: 671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.19 : 1,493.91 = 448.09 : x
  2. Step 2: Convert to fraction form
    996.19/1,493.91 = 448.09/x
  3. Step 3: Cross multiply
    996.19x = 1,493.91 × 448.09
  4. Step 4: Simplify right side
    996.19x = 669,402.40
  5. Step 5: Solve for x
    x = 669,402.40/996.19
  6. Step 6: Final answer
    x = 671.96

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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.