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Finding the Fourth Proportional to 790.67, 1,185.97 and 270.65

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Solution

The fourth proportional to 790.67, 1,185.97 and 270.65 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.67 : 1,185.97 = 270.65 : x
  2. Step 2: Convert to fraction form
    790.67/1,185.97 = 270.65/x
  3. Step 3: Cross multiply
    790.67x = 1,185.97 × 270.65
  4. Step 4: Simplify right side
    790.67x = 320,982.78
  5. Step 5: Solve for x
    x = 320,982.78/790.67
  6. Step 6: Final answer
    x = 405.96

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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.