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Finding the Fourth Proportional to 832.82, 1,249.27 and 399.78

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Solution

The fourth proportional to 832.82, 1,249.27 and 399.78 is: 599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.82 : 1,249.27 = 399.78 : x
  2. Step 2: Convert to fraction form
    832.82/1,249.27 = 399.78/x
  3. Step 3: Cross multiply
    832.82x = 1,249.27 × 399.78
  4. Step 4: Simplify right side
    832.82x = 499,433.16
  5. Step 5: Solve for x
    x = 499,433.16/832.82
  6. Step 6: Final answer
    x = 599.69

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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.