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Finding the Fourth Proportional to 996.80, 1,374.33 and 856.64

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Solution

The fourth proportional to 996.80, 1,374.33 and 856.64 is: 1,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.80 : 1,374.33 = 856.64 : x
  2. Step 2: Convert to fraction form
    996.80/1,374.33 = 856.64/x
  3. Step 3: Cross multiply
    996.80x = 1,374.33 × 856.64
  4. Step 4: Simplify right side
    996.80x = 1,177,306.05
  5. Step 5: Solve for x
    x = 1,177,306.05/996.80
  6. Step 6: Final answer
    x = 1,181.09

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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.