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Finding the Fourth Proportional to 791.11, 1,186.78 and 256.65

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Solution

The fourth proportional to 791.11, 1,186.78 and 256.65 is: 385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.11 : 1,186.78 = 256.65 : x
  2. Step 2: Convert to fraction form
    791.11/1,186.78 = 256.65/x
  3. Step 3: Cross multiply
    791.11x = 1,186.78 × 256.65
  4. Step 4: Simplify right side
    791.11x = 304,587.09
  5. Step 5: Solve for x
    x = 304,587.09/791.11
  6. Step 6: Final answer
    x = 385.01

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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.