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Finding the Fourth Proportional to 996.33, 1,493.44 and 411.72

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Solution

The fourth proportional to 996.33, 1,493.44 and 411.72 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.33 : 1,493.44 = 411.72 : x
  2. Step 2: Convert to fraction form
    996.33/1,493.44 = 411.72/x
  3. Step 3: Cross multiply
    996.33x = 1,493.44 × 411.72
  4. Step 4: Simplify right side
    996.33x = 614,879.12
  5. Step 5: Solve for x
    x = 614,879.12/996.33
  6. Step 6: Final answer
    x = 617.14

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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.