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Finding the Fourth Proportional to 496.62, 736.62 and 489.33

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Solution

The fourth proportional to 496.62, 736.62 and 489.33 is: 725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.62 : 736.62 = 489.33 : x
  2. Step 2: Convert to fraction form
    496.62/736.62 = 489.33/x
  3. Step 3: Cross multiply
    496.62x = 736.62 × 489.33
  4. Step 4: Simplify right side
    496.62x = 360,450.26
  5. Step 5: Solve for x
    x = 360,450.26/496.62
  6. Step 6: Final answer
    x = 725.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.