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Finding the Fourth Proportional to 791.72, 1,186.92 and 445.64

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Solution

The fourth proportional to 791.72, 1,186.92 and 445.64 is: 668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.72 : 1,186.92 = 445.64 : x
  2. Step 2: Convert to fraction form
    791.72/1,186.92 = 445.64/x
  3. Step 3: Cross multiply
    791.72x = 1,186.92 × 445.64
  4. Step 4: Simplify right side
    791.72x = 528,939.03
  5. Step 5: Solve for x
    x = 528,939.03/791.72
  6. Step 6: Final answer
    x = 668.09

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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.