Home / 1,189.48-1,640.82-923.80

Finding the Fourth Proportional to 1,189.48, 1,640.82 and 923.80

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Solution

The fourth proportional to 1,189.48, 1,640.82 and 923.80 is: 1,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.48 : 1,640.82 = 923.80 : x
  2. Step 2: Convert to fraction form
    1,189.48/1,640.82 = 923.80/x
  3. Step 3: Cross multiply
    1,189.48x = 1,640.82 × 923.80
  4. Step 4: Simplify right side
    1,189.48x = 1,515,789.52
  5. Step 5: Solve for x
    x = 1,515,789.52/1,189.48
  6. Step 6: Final answer
    x = 1,274.33

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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.