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Finding the Fourth Proportional to 494.35, 736.25 and 488.68

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Solution

The fourth proportional to 494.35, 736.25 and 488.68 is: 727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.35 : 736.25 = 488.68 : x
  2. Step 2: Convert to fraction form
    494.35/736.25 = 488.68/x
  3. Step 3: Cross multiply
    494.35x = 736.25 × 488.68
  4. Step 4: Simplify right side
    494.35x = 359,790.65
  5. Step 5: Solve for x
    x = 359,790.65/494.35
  6. Step 6: Final answer
    x = 727.81

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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.