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Finding the Fourth Proportional to 1,553.28, 2,330.28 and 822.69

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Solution

The fourth proportional to 1,553.28, 2,330.28 and 822.69 is: 1,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.28 : 2,330.28 = 822.69 : x
  2. Step 2: Convert to fraction form
    1,553.28/2,330.28 = 822.69/x
  3. Step 3: Cross multiply
    1,553.28x = 2,330.28 × 822.69
  4. Step 4: Simplify right side
    1,553.28x = 1,917,098.05
  5. Step 5: Solve for x
    x = 1,917,098.05/1,553.28
  6. Step 6: Final answer
    x = 1,234.23

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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.