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Finding the Fourth Proportional to 791.28, 1,185.64 and 482.20

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Solution

The fourth proportional to 791.28, 1,185.64 and 482.20 is: 722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.28 : 1,185.64 = 482.20 : x
  2. Step 2: Convert to fraction form
    791.28/1,185.64 = 482.20/x
  3. Step 3: Cross multiply
    791.28x = 1,185.64 × 482.20
  4. Step 4: Simplify right side
    791.28x = 571,713.25
  5. Step 5: Solve for x
    x = 571,713.25/791.28
  6. Step 6: Final answer
    x = 722.51

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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.