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Finding the Fourth Proportional to 832.44, 1,249.08 and 399.48

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Solution

The fourth proportional to 832.44, 1,249.08 and 399.48 is: 599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.44 : 1,249.08 = 399.48 : x
  2. Step 2: Convert to fraction form
    832.44/1,249.08 = 399.48/x
  3. Step 3: Cross multiply
    832.44x = 1,249.08 × 399.48
  4. Step 4: Simplify right side
    832.44x = 498,982.48
  5. Step 5: Solve for x
    x = 498,982.48/832.44
  6. Step 6: Final answer
    x = 599.42

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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.