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Finding the Fourth Proportional to 788.94, 1,176.75 and 685.41

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Solution

The fourth proportional to 788.94, 1,176.75 and 685.41 is: 1,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.94 : 1,176.75 = 685.41 : x
  2. Step 2: Convert to fraction form
    788.94/1,176.75 = 685.41/x
  3. Step 3: Cross multiply
    788.94x = 1,176.75 × 685.41
  4. Step 4: Simplify right side
    788.94x = 806,556.22
  5. Step 5: Solve for x
    x = 806,556.22/788.94
  6. Step 6: Final answer
    x = 1,022.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.