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Finding the Fourth Proportional to 862.11, 1,189.08 and 833.54

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Solution

The fourth proportional to 862.11, 1,189.08 and 833.54 is: 1,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.11 : 1,189.08 = 833.54 : x
  2. Step 2: Convert to fraction form
    862.11/1,189.08 = 833.54/x
  3. Step 3: Cross multiply
    862.11x = 1,189.08 × 833.54
  4. Step 4: Simplify right side
    862.11x = 991,139.80
  5. Step 5: Solve for x
    x = 991,139.80/862.11
  6. Step 6: Final answer
    x = 1,149.67

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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.