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Finding the Fourth Proportional to 996.77, 1,376.72 and 798.29

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Solution

The fourth proportional to 996.77, 1,376.72 and 798.29 is: 1,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.77 : 1,376.72 = 798.29 : x
  2. Step 2: Convert to fraction form
    996.77/1,376.72 = 798.29/x
  3. Step 3: Cross multiply
    996.77x = 1,376.72 × 798.29
  4. Step 4: Simplify right side
    996.77x = 1,099,021.81
  5. Step 5: Solve for x
    x = 1,099,021.81/996.77
  6. Step 6: Final answer
    x = 1,102.58

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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.