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Finding the Fourth Proportional to 1,403.25, 1,936.50 and 773.80

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Solution

The fourth proportional to 1,403.25, 1,936.50 and 773.80 is: 1,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.25 : 1,936.50 = 773.80 : x
  2. Step 2: Convert to fraction form
    1,403.25/1,936.50 = 773.80/x
  3. Step 3: Cross multiply
    1,403.25x = 1,936.50 × 773.80
  4. Step 4: Simplify right side
    1,403.25x = 1,498,470.48
  5. Step 5: Solve for x
    x = 1,498,470.48/1,403.25
  6. Step 6: Final answer
    x = 1,067.86

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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.