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Finding the Fourth Proportional to 664.63, 996.31 and 299.01

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Solution

The fourth proportional to 664.63, 996.31 and 299.01 is: 448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.63 : 996.31 = 299.01 : x
  2. Step 2: Convert to fraction form
    664.63/996.31 = 299.01/x
  3. Step 3: Cross multiply
    664.63x = 996.31 × 299.01
  4. Step 4: Simplify right side
    664.63x = 297,906.65
  5. Step 5: Solve for x
    x = 297,906.65/664.63
  6. Step 6: Final answer
    x = 448.23

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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.