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Finding the Fourth Proportional to 832.29, 1,249.92 and 789.77

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Solution

The fourth proportional to 832.29, 1,249.92 and 789.77 is: 1,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.29 : 1,249.92 = 789.77 : x
  2. Step 2: Convert to fraction form
    832.29/1,249.92 = 789.77/x
  3. Step 3: Cross multiply
    832.29x = 1,249.92 × 789.77
  4. Step 4: Simplify right side
    832.29x = 987,143.07
  5. Step 5: Solve for x
    x = 987,143.07/832.29
  6. Step 6: Final answer
    x = 1,186.06

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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.