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Finding the Fourth Proportional to 498.57, 748.26 and 360.33

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Solution

The fourth proportional to 498.57, 748.26 and 360.33 is: 540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.57 : 748.26 = 360.33 : x
  2. Step 2: Convert to fraction form
    498.57/748.26 = 360.33/x
  3. Step 3: Cross multiply
    498.57x = 748.26 × 360.33
  4. Step 4: Simplify right side
    498.57x = 269,620.53
  5. Step 5: Solve for x
    x = 269,620.53/498.57
  6. Step 6: Final answer
    x = 540.79

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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.