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Finding the Fourth Proportional to 825.86, 1,139.86 and 799.84

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Solution

The fourth proportional to 825.86, 1,139.86 and 799.84 is: 1,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.86 : 1,139.86 = 799.84 : x
  2. Step 2: Convert to fraction form
    825.86/1,139.86 = 799.84/x
  3. Step 3: Cross multiply
    825.86x = 1,139.86 × 799.84
  4. Step 4: Simplify right side
    825.86x = 911,705.62
  5. Step 5: Solve for x
    x = 911,705.62/825.86
  6. Step 6: Final answer
    x = 1,103.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.