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Finding the Fourth Proportional to 996.30, 1,370.52 and 817.02

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Solution

The fourth proportional to 996.30, 1,370.52 and 817.02 is: 1,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.30 : 1,370.52 = 817.02 : x
  2. Step 2: Convert to fraction form
    996.30/1,370.52 = 817.02/x
  3. Step 3: Cross multiply
    996.30x = 1,370.52 × 817.02
  4. Step 4: Simplify right side
    996.30x = 1,119,742.25
  5. Step 5: Solve for x
    x = 1,119,742.25/996.30
  6. Step 6: Final answer
    x = 1,123.90

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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.