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Finding the Fourth Proportional to 1,449.48, 2,000.27 and 820.13

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Solution

The fourth proportional to 1,449.48, 2,000.27 and 820.13 is: 1,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.48 : 2,000.27 = 820.13 : x
  2. Step 2: Convert to fraction form
    1,449.48/2,000.27 = 820.13/x
  3. Step 3: Cross multiply
    1,449.48x = 2,000.27 × 820.13
  4. Step 4: Simplify right side
    1,449.48x = 1,640,481.44
  5. Step 5: Solve for x
    x = 1,640,481.44/1,449.48
  6. Step 6: Final answer
    x = 1,131.77

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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.