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Finding the Fourth Proportional to 791.25, 1,091.93 and 459.74

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Solution

The fourth proportional to 791.25, 1,091.93 and 459.74 is: 634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.25 : 1,091.93 = 459.74 : x
  2. Step 2: Convert to fraction form
    791.25/1,091.93 = 459.74/x
  3. Step 3: Cross multiply
    791.25x = 1,091.93 × 459.74
  4. Step 4: Simplify right side
    791.25x = 502,006.92
  5. Step 5: Solve for x
    x = 502,006.92/791.25
  6. Step 6: Final answer
    x = 634.45

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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.