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Finding the Fourth Proportional to 794.05, 1,191.28 and 306.97

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Solution

The fourth proportional to 794.05, 1,191.28 and 306.97 is: 460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.05 : 1,191.28 = 306.97 : x
  2. Step 2: Convert to fraction form
    794.05/1,191.28 = 306.97/x
  3. Step 3: Cross multiply
    794.05x = 1,191.28 × 306.97
  4. Step 4: Simplify right side
    794.05x = 365,687.22
  5. Step 5: Solve for x
    x = 365,687.22/794.05
  6. Step 6: Final answer
    x = 460.53

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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.