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Finding the Fourth Proportional to 791.00, 1,187.24 and 401.28

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Solution

The fourth proportional to 791.00, 1,187.24 and 401.28 is: 602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.00 : 1,187.24 = 401.28 : x
  2. Step 2: Convert to fraction form
    791.00/1,187.24 = 401.28/x
  3. Step 3: Cross multiply
    791.00x = 1,187.24 × 401.28
  4. Step 4: Simplify right side
    791.00x = 476,409.21
  5. Step 5: Solve for x
    x = 476,409.21/791.00
  6. Step 6: Final answer
    x = 602.29

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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.