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Finding the Fourth Proportional to 996.92, 1,377.78 and 775.64

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Solution

The fourth proportional to 996.92, 1,377.78 and 775.64 is: 1,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.92 : 1,377.78 = 775.64 : x
  2. Step 2: Convert to fraction form
    996.92/1,377.78 = 775.64/x
  3. Step 3: Cross multiply
    996.92x = 1,377.78 × 775.64
  4. Step 4: Simplify right side
    996.92x = 1,068,661.28
  5. Step 5: Solve for x
    x = 1,068,661.28/996.92
  6. Step 6: Final answer
    x = 1,071.96

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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.