Home / 1,448.32-1,997.94-923.80

Finding the Fourth Proportional to 1,448.32, 1,997.94 and 923.80

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Solution

The fourth proportional to 1,448.32, 1,997.94 and 923.80 is: 1,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.32 : 1,997.94 = 923.80 : x
  2. Step 2: Convert to fraction form
    1,448.32/1,997.94 = 923.80/x
  3. Step 3: Cross multiply
    1,448.32x = 1,997.94 × 923.80
  4. Step 4: Simplify right side
    1,448.32x = 1,845,696.97
  5. Step 5: Solve for x
    x = 1,845,696.97/1,448.32
  6. Step 6: Final answer
    x = 1,274.37

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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.