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Finding the Fourth Proportional to 697.87, 963.28 and 449.19

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Solution

The fourth proportional to 697.87, 963.28 and 449.19 is: 620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.87 : 963.28 = 449.19 : x
  2. Step 2: Convert to fraction form
    697.87/963.28 = 449.19/x
  3. Step 3: Cross multiply
    697.87x = 963.28 × 449.19
  4. Step 4: Simplify right side
    697.87x = 432,694.62
  5. Step 5: Solve for x
    x = 432,694.62/697.87
  6. Step 6: Final answer
    x = 620.02

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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.