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Finding the Fourth Proportional to 996.76, 1,374.66 and 800.20

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Solution

The fourth proportional to 996.76, 1,374.66 and 800.20 is: 1,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.76 : 1,374.66 = 800.20 : x
  2. Step 2: Convert to fraction form
    996.76/1,374.66 = 800.20/x
  3. Step 3: Cross multiply
    996.76x = 1,374.66 × 800.20
  4. Step 4: Simplify right side
    996.76x = 1,100,002.93
  5. Step 5: Solve for x
    x = 1,100,002.93/996.76
  6. Step 6: Final answer
    x = 1,103.58

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Double scale
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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.