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Finding the Fourth Proportional to 1,448.80, 1,999.10 and 827.80

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Solution

The fourth proportional to 1,448.80, 1,999.10 and 827.80 is: 1,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.80 : 1,999.10 = 827.80 : x
  2. Step 2: Convert to fraction form
    1,448.80/1,999.10 = 827.80/x
  3. Step 3: Cross multiply
    1,448.80x = 1,999.10 × 827.80
  4. Step 4: Simplify right side
    1,448.80x = 1,654,854.98
  5. Step 5: Solve for x
    x = 1,654,854.98/1,448.80
  6. Step 6: Final answer
    x = 1,142.22

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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.