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Finding the Fourth Proportional to 494.67, 738.33 and 486.57

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Solution

The fourth proportional to 494.67, 738.33 and 486.57 is: 726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.67 : 738.33 = 486.57 : x
  2. Step 2: Convert to fraction form
    494.67/738.33 = 486.57/x
  3. Step 3: Cross multiply
    494.67x = 738.33 × 486.57
  4. Step 4: Simplify right side
    494.67x = 359,249.23
  5. Step 5: Solve for x
    x = 359,249.23/494.67
  6. Step 6: Final answer
    x = 726.24

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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.