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Finding the Fourth Proportional to 863.46, 1,293.57 and 860.22

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Solution

The fourth proportional to 863.46, 1,293.57 and 860.22 is: 1,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.46 : 1,293.57 = 860.22 : x
  2. Step 2: Convert to fraction form
    863.46/1,293.57 = 860.22/x
  3. Step 3: Cross multiply
    863.46x = 1,293.57 × 860.22
  4. Step 4: Simplify right side
    863.46x = 1,112,754.79
  5. Step 5: Solve for x
    x = 1,112,754.79/863.46
  6. Step 6: Final answer
    x = 1,288.72

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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.