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Finding the Fourth Proportional to 794.43, 1,191.49 and 641.25

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Solution

The fourth proportional to 794.43, 1,191.49 and 641.25 is: 961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.43 : 1,191.49 = 641.25 : x
  2. Step 2: Convert to fraction form
    794.43/1,191.49 = 641.25/x
  3. Step 3: Cross multiply
    794.43x = 1,191.49 × 641.25
  4. Step 4: Simplify right side
    794.43x = 764,041.36
  5. Step 5: Solve for x
    x = 764,041.36/794.43
  6. Step 6: Final answer
    x = 961.75

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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.