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Finding the Fourth Proportional to 996.11, 1,374.40 and 576.33

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Solution

The fourth proportional to 996.11, 1,374.40 and 576.33 is: 795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.11 : 1,374.40 = 576.33 : x
  2. Step 2: Convert to fraction form
    996.11/1,374.40 = 576.33/x
  3. Step 3: Cross multiply
    996.11x = 1,374.40 × 576.33
  4. Step 4: Simplify right side
    996.11x = 792,107.95
  5. Step 5: Solve for x
    x = 792,107.95/996.11
  6. Step 6: Final answer
    x = 795.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.