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Finding the Fourth Proportional to 1,336.72, 2,000.04 and 789.20

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Solution

The fourth proportional to 1,336.72, 2,000.04 and 789.20 is: 1,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.72 : 2,000.04 = 789.20 : x
  2. Step 2: Convert to fraction form
    1,336.72/2,000.04 = 789.20/x
  3. Step 3: Cross multiply
    1,336.72x = 2,000.04 × 789.20
  4. Step 4: Simplify right side
    1,336.72x = 1,578,431.57
  5. Step 5: Solve for x
    x = 1,578,431.57/1,336.72
  6. Step 6: Final answer
    x = 1,180.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.