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Finding the Fourth Proportional to 498.36, 744 and 443.68

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Solution

The fourth proportional to 498.36, 744 and 443.68 is: 662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.36 : 744 = 443.68 : x
  2. Step 2: Convert to fraction form
    498.36/744 = 443.68/x
  3. Step 3: Cross multiply
    498.36x = 744 × 443.68
  4. Step 4: Simplify right side
    498.36x = 330,097.92
  5. Step 5: Solve for x
    x = 330,097.92/498.36
  6. Step 6: Final answer
    x = 662.37

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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.