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Finding the Fourth Proportional to 1,448.74, 1,999.43 and 889.23

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Solution

The fourth proportional to 1,448.74, 1,999.43 and 889.23 is: 1,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.74 : 1,999.43 = 889.23 : x
  2. Step 2: Convert to fraction form
    1,448.74/1,999.43 = 889.23/x
  3. Step 3: Cross multiply
    1,448.74x = 1,999.43 × 889.23
  4. Step 4: Simplify right side
    1,448.74x = 1,777,953.28
  5. Step 5: Solve for x
    x = 1,777,953.28/1,448.74
  6. Step 6: Final answer
    x = 1,227.24

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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.