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Finding the Fourth Proportional to 698.49, 963.09 and 449.82

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Solution

The fourth proportional to 698.49, 963.09 and 449.82 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.49 : 963.09 = 449.82 : x
  2. Step 2: Convert to fraction form
    698.49/963.09 = 449.82/x
  3. Step 3: Cross multiply
    698.49x = 963.09 × 449.82
  4. Step 4: Simplify right side
    698.49x = 433,217.14
  5. Step 5: Solve for x
    x = 433,217.14/698.49
  6. Step 6: Final answer
    x = 620.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.