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Finding the Fourth Proportional to 791.04, 1,185.48 and 401.17

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Solution

The fourth proportional to 791.04, 1,185.48 and 401.17 is: 601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.04 : 1,185.48 = 401.17 : x
  2. Step 2: Convert to fraction form
    791.04/1,185.48 = 401.17/x
  3. Step 3: Cross multiply
    791.04x = 1,185.48 × 401.17
  4. Step 4: Simplify right side
    791.04x = 475,579.01
  5. Step 5: Solve for x
    x = 475,579.01/791.04
  6. Step 6: Final answer
    x = 601.21

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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.