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Finding the Fourth Proportional to 863.91, 1,289.60 and 799.67

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Solution

The fourth proportional to 863.91, 1,289.60 and 799.67 is: 1,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.91 : 1,289.60 = 799.67 : x
  2. Step 2: Convert to fraction form
    863.91/1,289.60 = 799.67/x
  3. Step 3: Cross multiply
    863.91x = 1,289.60 × 799.67
  4. Step 4: Simplify right side
    863.91x = 1,031,254.43
  5. Step 5: Solve for x
    x = 1,031,254.43/863.91
  6. Step 6: Final answer
    x = 1,193.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.