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Finding the Fourth Proportional to 1,236.85, 1,859.07 and 828.61

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Solution

The fourth proportional to 1,236.85, 1,859.07 and 828.61 is: 1,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.85 : 1,859.07 = 828.61 : x
  2. Step 2: Convert to fraction form
    1,236.85/1,859.07 = 828.61/x
  3. Step 3: Cross multiply
    1,236.85x = 1,859.07 × 828.61
  4. Step 4: Simplify right side
    1,236.85x = 1,540,443.99
  5. Step 5: Solve for x
    x = 1,540,443.99/1,236.85
  6. Step 6: Final answer
    x = 1,245.46

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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.