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Finding the Fourth Proportional to 996.54, 1,375.13 and 760.64

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Solution

The fourth proportional to 996.54, 1,375.13 and 760.64 is: 1,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.54 : 1,375.13 = 760.64 : x
  2. Step 2: Convert to fraction form
    996.54/1,375.13 = 760.64/x
  3. Step 3: Cross multiply
    996.54x = 1,375.13 × 760.64
  4. Step 4: Simplify right side
    996.54x = 1,045,975.08
  5. Step 5: Solve for x
    x = 1,045,975.08/996.54
  6. Step 6: Final answer
    x = 1,049.61

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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.