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Finding the Fourth Proportional to 494.68, 738.11 and 448.51

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Solution

The fourth proportional to 494.68, 738.11 and 448.51 is: 669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.68 : 738.11 = 448.51 : x
  2. Step 2: Convert to fraction form
    494.68/738.11 = 448.51/x
  3. Step 3: Cross multiply
    494.68x = 738.11 × 448.51
  4. Step 4: Simplify right side
    494.68x = 331,049.72
  5. Step 5: Solve for x
    x = 331,049.72/494.68
  6. Step 6: Final answer
    x = 669.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.