Home / 1,189.44-1,640.58-723.72

Finding the Fourth Proportional to 1,189.44, 1,640.58 and 723.72

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Solution

The fourth proportional to 1,189.44, 1,640.58 and 723.72 is: 998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.44 : 1,640.58 = 723.72 : x
  2. Step 2: Convert to fraction form
    1,189.44/1,640.58 = 723.72/x
  3. Step 3: Cross multiply
    1,189.44x = 1,640.58 × 723.72
  4. Step 4: Simplify right side
    1,189.44x = 1,187,320.56
  5. Step 5: Solve for x
    x = 1,187,320.56/1,189.44
  6. Step 6: Final answer
    x = 998.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.