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Finding the Fourth Proportional to 1,178.79, 1,767.51 and 789.26

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Solution

The fourth proportional to 1,178.79, 1,767.51 and 789.26 is: 1,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.79 : 1,767.51 = 789.26 : x
  2. Step 2: Convert to fraction form
    1,178.79/1,767.51 = 789.26/x
  3. Step 3: Cross multiply
    1,178.79x = 1,767.51 × 789.26
  4. Step 4: Simplify right side
    1,178.79x = 1,395,016.11
  5. Step 5: Solve for x
    x = 1,395,016.11/1,178.79
  6. Step 6: Final answer
    x = 1,183.43

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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.