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Finding the Fourth Proportional to 664.94, 997.42 and 448.68

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Solution

The fourth proportional to 664.94, 997.42 and 448.68 is: 673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.94 : 997.42 = 448.68 : x
  2. Step 2: Convert to fraction form
    664.94/997.42 = 448.68/x
  3. Step 3: Cross multiply
    664.94x = 997.42 × 448.68
  4. Step 4: Simplify right side
    664.94x = 447,522.41
  5. Step 5: Solve for x
    x = 447,522.41/664.94
  6. Step 6: Final answer
    x = 673.03

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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.