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Finding the Fourth Proportional to 644.28, 961.74 and 553.56

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Solution

The fourth proportional to 644.28, 961.74 and 553.56 is: 826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.28 : 961.74 = 553.56 : x
  2. Step 2: Convert to fraction form
    644.28/961.74 = 553.56/x
  3. Step 3: Cross multiply
    644.28x = 961.74 × 553.56
  4. Step 4: Simplify right side
    644.28x = 532,380.79
  5. Step 5: Solve for x
    x = 532,380.79/644.28
  6. Step 6: Final answer
    x = 826.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.