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Finding the Fourth Proportional to 869.72, 1,198.48 and 620.34

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Solution

The fourth proportional to 869.72, 1,198.48 and 620.34 is: 854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.72 : 1,198.48 = 620.34 : x
  2. Step 2: Convert to fraction form
    869.72/1,198.48 = 620.34/x
  3. Step 3: Cross multiply
    869.72x = 1,198.48 × 620.34
  4. Step 4: Simplify right side
    869.72x = 743,465.08
  5. Step 5: Solve for x
    x = 743,465.08/869.72
  6. Step 6: Final answer
    x = 854.83

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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.