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Finding the Fourth Proportional to 2,980.41, 4,470.62 and 789.31

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Solution

The fourth proportional to 2,980.41, 4,470.62 and 789.31 is: 1,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.41 : 4,470.62 = 789.31 : x
  2. Step 2: Convert to fraction form
    2,980.41/4,470.62 = 789.31/x
  3. Step 3: Cross multiply
    2,980.41x = 4,470.62 × 789.31
  4. Step 4: Simplify right side
    2,980.41x = 3,528,719.54
  5. Step 5: Solve for x
    x = 3,528,719.54/2,980.41
  6. Step 6: Final answer
    x = 1,183.97

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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.