Home / 1,206.79-1,814.64-1,163.05

Finding the Fourth Proportional to 1,206.79, 1,814.64 and 1,163.05

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Solution

The fourth proportional to 1,206.79, 1,814.64 and 1,163.05 is: 1,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.79 : 1,814.64 = 1,163.05 : x
  2. Step 2: Convert to fraction form
    1,206.79/1,814.64 = 1,163.05/x
  3. Step 3: Cross multiply
    1,206.79x = 1,814.64 × 1,163.05
  4. Step 4: Simplify right side
    1,206.79x = 2,110,517.05
  5. Step 5: Solve for x
    x = 2,110,517.05/1,206.79
  6. Step 6: Final answer
    x = 1,748.87

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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.