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Finding the Fourth Proportional to 665.82, 996.84 and 449.01

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Solution

The fourth proportional to 665.82, 996.84 and 449.01 is: 672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 996.84 = 449.01 : x
  2. Step 2: Convert to fraction form
    665.82/996.84 = 449.01/x
  3. Step 3: Cross multiply
    665.82x = 996.84 × 449.01
  4. Step 4: Simplify right side
    665.82x = 447,591.13
  5. Step 5: Solve for x
    x = 447,591.13/665.82
  6. Step 6: Final answer
    x = 672.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.