Home / 1,199.64-1,789.36-1,163.20

Finding the Fourth Proportional to 1,199.64, 1,789.36 and 1,163.20

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Solution

The fourth proportional to 1,199.64, 1,789.36 and 1,163.20 is: 1,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.64 : 1,789.36 = 1,163.20 : x
  2. Step 2: Convert to fraction form
    1,199.64/1,789.36 = 1,163.20/x
  3. Step 3: Cross multiply
    1,199.64x = 1,789.36 × 1,163.20
  4. Step 4: Simplify right side
    1,199.64x = 2,081,383.55
  5. Step 5: Solve for x
    x = 2,081,383.55/1,199.64
  6. Step 6: Final answer
    x = 1,735.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.