Home / 1,163.07-1,743.30-422.37

Finding the Fourth Proportional to 1,163.07, 1,743.30 and 422.37

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Solution

The fourth proportional to 1,163.07, 1,743.30 and 422.37 is: 633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.07 : 1,743.30 = 422.37 : x
  2. Step 2: Convert to fraction form
    1,163.07/1,743.30 = 422.37/x
  3. Step 3: Cross multiply
    1,163.07x = 1,743.30 × 422.37
  4. Step 4: Simplify right side
    1,163.07x = 736,317.62
  5. Step 5: Solve for x
    x = 736,317.62/1,163.07
  6. Step 6: Final answer
    x = 633.08

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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.