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Finding the Fourth Proportional to 863.09, 1,294.62 and 213.83

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Solution

The fourth proportional to 863.09, 1,294.62 and 213.83 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.09 : 1,294.62 = 213.83 : x
  2. Step 2: Convert to fraction form
    863.09/1,294.62 = 213.83/x
  3. Step 3: Cross multiply
    863.09x = 1,294.62 × 213.83
  4. Step 4: Simplify right side
    863.09x = 276,826.17
  5. Step 5: Solve for x
    x = 276,826.17/863.09
  6. Step 6: Final answer
    x = 320.74

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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.