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Finding the Fourth Proportional to 825.88, 1,236.54 and 777.32

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Solution

The fourth proportional to 825.88, 1,236.54 and 777.32 is: 1,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.88 : 1,236.54 = 777.32 : x
  2. Step 2: Convert to fraction form
    825.88/1,236.54 = 777.32/x
  3. Step 3: Cross multiply
    825.88x = 1,236.54 × 777.32
  4. Step 4: Simplify right side
    825.88x = 961,187.27
  5. Step 5: Solve for x
    x = 961,187.27/825.88
  6. Step 6: Final answer
    x = 1,163.83

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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.