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Finding the Fourth Proportional to 821.11, 1,232.51 and 640.48

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Solution

The fourth proportional to 821.11, 1,232.51 and 640.48 is: 961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.11 : 1,232.51 = 640.48 : x
  2. Step 2: Convert to fraction form
    821.11/1,232.51 = 640.48/x
  3. Step 3: Cross multiply
    821.11x = 1,232.51 × 640.48
  4. Step 4: Simplify right side
    821.11x = 789,398.00
  5. Step 5: Solve for x
    x = 789,398.00/821.11
  6. Step 6: Final answer
    x = 961.38

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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.