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Finding the Fourth Proportional to 1,183.01, 1,772.55 and 719.38

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Solution

The fourth proportional to 1,183.01, 1,772.55 and 719.38 is: 1,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.01 : 1,772.55 = 719.38 : x
  2. Step 2: Convert to fraction form
    1,183.01/1,772.55 = 719.38/x
  3. Step 3: Cross multiply
    1,183.01x = 1,772.55 × 719.38
  4. Step 4: Simplify right side
    1,183.01x = 1,275,137.02
  5. Step 5: Solve for x
    x = 1,275,137.02/1,183.01
  6. Step 6: Final answer
    x = 1,077.88

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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.