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Finding the Fourth Proportional to 697.98, 963.50 and 449.61

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Solution

The fourth proportional to 697.98, 963.50 and 449.61 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.98 : 963.50 = 449.61 : x
  2. Step 2: Convert to fraction form
    697.98/963.50 = 449.61/x
  3. Step 3: Cross multiply
    697.98x = 963.50 × 449.61
  4. Step 4: Simplify right side
    697.98x = 433,196.99
  5. Step 5: Solve for x
    x = 433,196.99/697.98
  6. Step 6: Final answer
    x = 620.64

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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.