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Finding the Fourth Proportional to 794.39, 1,191.25 and 300.71

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Solution

The fourth proportional to 794.39, 1,191.25 and 300.71 is: 450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.39 : 1,191.25 = 300.71 : x
  2. Step 2: Convert to fraction form
    794.39/1,191.25 = 300.71/x
  3. Step 3: Cross multiply
    794.39x = 1,191.25 × 300.71
  4. Step 4: Simplify right side
    794.39x = 358,224.56
  5. Step 5: Solve for x
    x = 358,224.56/794.39
  6. Step 6: Final answer
    x = 450.94

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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.