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Finding the Fourth Proportional to 498.81, 748.40 and 408.09

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Solution

The fourth proportional to 498.81, 748.40 and 408.09 is: 612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.81 : 748.40 = 408.09 : x
  2. Step 2: Convert to fraction form
    498.81/748.40 = 408.09/x
  3. Step 3: Cross multiply
    498.81x = 748.40 × 408.09
  4. Step 4: Simplify right side
    498.81x = 305,412.52
  5. Step 5: Solve for x
    x = 305,412.52/498.81
  6. Step 6: Final answer
    x = 612.28

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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.