Home / 1,183.05-1,778.40-1,096.77

Finding the Fourth Proportional to 1,183.05, 1,778.40 and 1,096.77

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Solution

The fourth proportional to 1,183.05, 1,778.40 and 1,096.77 is: 1,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.05 : 1,778.40 = 1,096.77 : x
  2. Step 2: Convert to fraction form
    1,183.05/1,778.40 = 1,096.77/x
  3. Step 3: Cross multiply
    1,183.05x = 1,778.40 × 1,096.77
  4. Step 4: Simplify right side
    1,183.05x = 1,950,495.77
  5. Step 5: Solve for x
    x = 1,950,495.77/1,183.05
  6. Step 6: Final answer
    x = 1,648.70

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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.