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Finding the Fourth Proportional to 791.07, 1,091.65 and 496.50

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Solution

The fourth proportional to 791.07, 1,091.65 and 496.50 is: 685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.07 : 1,091.65 = 496.50 : x
  2. Step 2: Convert to fraction form
    791.07/1,091.65 = 496.50/x
  3. Step 3: Cross multiply
    791.07x = 1,091.65 × 496.50
  4. Step 4: Simplify right side
    791.07x = 542,004.23
  5. Step 5: Solve for x
    x = 542,004.23/791.07
  6. Step 6: Final answer
    x = 685.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.