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Finding the Fourth Proportional to 863.46, 1,190.57 and 642.06

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Solution

The fourth proportional to 863.46, 1,190.57 and 642.06 is: 885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.46 : 1,190.57 = 642.06 : x
  2. Step 2: Convert to fraction form
    863.46/1,190.57 = 642.06/x
  3. Step 3: Cross multiply
    863.46x = 1,190.57 × 642.06
  4. Step 4: Simplify right side
    863.46x = 764,414.16
  5. Step 5: Solve for x
    x = 764,414.16/863.46
  6. Step 6: Final answer
    x = 885.29

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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.