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Finding the Fourth Proportional to 2,180.56, 3,270.90 and 719.68

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Solution

The fourth proportional to 2,180.56, 3,270.90 and 719.68 is: 1,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.56 : 3,270.90 = 719.68 : x
  2. Step 2: Convert to fraction form
    2,180.56/3,270.90 = 719.68/x
  3. Step 3: Cross multiply
    2,180.56x = 3,270.90 × 719.68
  4. Step 4: Simplify right side
    2,180.56x = 2,354,001.31
  5. Step 5: Solve for x
    x = 2,354,001.31/2,180.56
  6. Step 6: Final answer
    x = 1,079.54

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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.