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Finding the Fourth Proportional to 791.63, 1,185.57 and 467.22

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Solution

The fourth proportional to 791.63, 1,185.57 and 467.22 is: 699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.63 : 1,185.57 = 467.22 : x
  2. Step 2: Convert to fraction form
    791.63/1,185.57 = 467.22/x
  3. Step 3: Cross multiply
    791.63x = 1,185.57 × 467.22
  4. Step 4: Simplify right side
    791.63x = 553,922.02
  5. Step 5: Solve for x
    x = 553,922.02/791.63
  6. Step 6: Final answer
    x = 699.73

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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.