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Finding the Fourth Proportional to 821.29, 1,232.42 and 814.69

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Solution

The fourth proportional to 821.29, 1,232.42 and 814.69 is: 1,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.29 : 1,232.42 = 814.69 : x
  2. Step 2: Convert to fraction form
    821.29/1,232.42 = 814.69/x
  3. Step 3: Cross multiply
    821.29x = 1,232.42 × 814.69
  4. Step 4: Simplify right side
    821.29x = 1,004,036.18
  5. Step 5: Solve for x
    x = 1,004,036.18/821.29
  6. Step 6: Final answer
    x = 1,222.51

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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.