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Finding the Fourth Proportional to 794.69, 1,191.80 and 300.94

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Solution

The fourth proportional to 794.69, 1,191.80 and 300.94 is: 451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.69 : 1,191.80 = 300.94 : x
  2. Step 2: Convert to fraction form
    794.69/1,191.80 = 300.94/x
  3. Step 3: Cross multiply
    794.69x = 1,191.80 × 300.94
  4. Step 4: Simplify right side
    794.69x = 358,654.33
  5. Step 5: Solve for x
    x = 358,654.33/794.69
  6. Step 6: Final answer
    x = 451.31

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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.