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Finding the Fourth Proportional to 493.23, 738.23 and 448.41

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Solution

The fourth proportional to 493.23, 738.23 and 448.41 is: 671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.23 : 738.23 = 448.41 : x
  2. Step 2: Convert to fraction form
    493.23/738.23 = 448.41/x
  3. Step 3: Cross multiply
    493.23x = 738.23 × 448.41
  4. Step 4: Simplify right side
    493.23x = 331,027.47
  5. Step 5: Solve for x
    x = 331,027.47/493.23
  6. Step 6: Final answer
    x = 671.14

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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.