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Finding the Fourth Proportional to 698.45, 963.90 and 449.78

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Solution

The fourth proportional to 698.45, 963.90 and 449.78 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.45 : 963.90 = 449.78 : x
  2. Step 2: Convert to fraction form
    698.45/963.90 = 449.78/x
  3. Step 3: Cross multiply
    698.45x = 963.90 × 449.78
  4. Step 4: Simplify right side
    698.45x = 433,538.12
  5. Step 5: Solve for x
    x = 433,538.12/698.45
  6. Step 6: Final answer
    x = 620.72

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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.