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Finding the Fourth Proportional to 886.04, 1,228.31 and 839.20

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Solution

The fourth proportional to 886.04, 1,228.31 and 839.20 is: 1,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.04 : 1,228.31 = 839.20 : x
  2. Step 2: Convert to fraction form
    886.04/1,228.31 = 839.20/x
  3. Step 3: Cross multiply
    886.04x = 1,228.31 × 839.20
  4. Step 4: Simplify right side
    886.04x = 1,030,797.75
  5. Step 5: Solve for x
    x = 1,030,797.75/886.04
  6. Step 6: Final answer
    x = 1,163.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.