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Finding the Fourth Proportional to 1,449.13, 1,999.79 and 828.13

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Solution

The fourth proportional to 1,449.13, 1,999.79 and 828.13 is: 1,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.13 : 1,999.79 = 828.13 : x
  2. Step 2: Convert to fraction form
    1,449.13/1,999.79 = 828.13/x
  3. Step 3: Cross multiply
    1,449.13x = 1,999.79 × 828.13
  4. Step 4: Simplify right side
    1,449.13x = 1,656,078.16
  5. Step 5: Solve for x
    x = 1,656,078.16/1,449.13
  6. Step 6: Final answer
    x = 1,142.81

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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.