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Finding the Fourth Proportional to 645.28, 963.19 and 554.56

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Solution

The fourth proportional to 645.28, 963.19 and 554.56 is: 827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.28 : 963.19 = 554.56 : x
  2. Step 2: Convert to fraction form
    645.28/963.19 = 554.56/x
  3. Step 3: Cross multiply
    645.28x = 963.19 × 554.56
  4. Step 4: Simplify right side
    645.28x = 534,148.03
  5. Step 5: Solve for x
    x = 534,148.03/645.28
  6. Step 6: Final answer
    x = 827.78

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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.