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Finding the Fourth Proportional to 1,448.52, 1,999.28 and 1,029.48

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Solution

The fourth proportional to 1,448.52, 1,999.28 and 1,029.48 is: 1,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.52 : 1,999.28 = 1,029.48 : x
  2. Step 2: Convert to fraction form
    1,448.52/1,999.28 = 1,029.48/x
  3. Step 3: Cross multiply
    1,448.52x = 1,999.28 × 1,029.48
  4. Step 4: Simplify right side
    1,448.52x = 2,058,218.77
  5. Step 5: Solve for x
    x = 2,058,218.77/1,448.52
  6. Step 6: Final answer
    x = 1,420.91

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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.