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Finding the Fourth Proportional to 645.20, 963.70 and 554.24

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Solution

The fourth proportional to 645.20, 963.70 and 554.24 is: 827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.20 : 963.70 = 554.24 : x
  2. Step 2: Convert to fraction form
    645.20/963.70 = 554.24/x
  3. Step 3: Cross multiply
    645.20x = 963.70 × 554.24
  4. Step 4: Simplify right side
    645.20x = 534,121.09
  5. Step 5: Solve for x
    x = 534,121.09/645.20
  6. Step 6: Final answer
    x = 827.84

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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.