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Finding the Fourth Proportional to 778.09, 1,167.41 and 361.81

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Solution

The fourth proportional to 778.09, 1,167.41 and 361.81 is: 542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.09 : 1,167.41 = 361.81 : x
  2. Step 2: Convert to fraction form
    778.09/1,167.41 = 361.81/x
  3. Step 3: Cross multiply
    778.09x = 1,167.41 × 361.81
  4. Step 4: Simplify right side
    778.09x = 422,378.60
  5. Step 5: Solve for x
    x = 422,378.60/778.09
  6. Step 6: Final answer
    x = 542.84

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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.