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Finding the Fourth Proportional to 821.38, 1,232.06 and 800.72

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Solution

The fourth proportional to 821.38, 1,232.06 and 800.72 is: 1,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.38 : 1,232.06 = 800.72 : x
  2. Step 2: Convert to fraction form
    821.38/1,232.06 = 800.72/x
  3. Step 3: Cross multiply
    821.38x = 1,232.06 × 800.72
  4. Step 4: Simplify right side
    821.38x = 986,535.08
  5. Step 5: Solve for x
    x = 986,535.08/821.38
  6. Step 6: Final answer
    x = 1,201.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.