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Finding the Fourth Proportional to 3,059.31, 4,589.20 and 868.22

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Solution

The fourth proportional to 3,059.31, 4,589.20 and 868.22 is: 1,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.31 : 4,589.20 = 868.22 : x
  2. Step 2: Convert to fraction form
    3,059.31/4,589.20 = 868.22/x
  3. Step 3: Cross multiply
    3,059.31x = 4,589.20 × 868.22
  4. Step 4: Simplify right side
    3,059.31x = 3,984,435.22
  5. Step 5: Solve for x
    x = 3,984,435.22/3,059.31
  6. Step 6: Final answer
    x = 1,302.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.