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Finding the Fourth Proportional to 791.82, 1,185.30 and 532.05

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Solution

The fourth proportional to 791.82, 1,185.30 and 532.05 is: 796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.82 : 1,185.30 = 532.05 : x
  2. Step 2: Convert to fraction form
    791.82/1,185.30 = 532.05/x
  3. Step 3: Cross multiply
    791.82x = 1,185.30 × 532.05
  4. Step 4: Simplify right side
    791.82x = 630,638.87
  5. Step 5: Solve for x
    x = 630,638.87/791.82
  6. Step 6: Final answer
    x = 796.44

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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.