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Finding the Fourth Proportional to 1,304.92, 1,796.79 and 1,200.43

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Solution

The fourth proportional to 1,304.92, 1,796.79 and 1,200.43 is: 1,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.92 : 1,796.79 = 1,200.43 : x
  2. Step 2: Convert to fraction form
    1,304.92/1,796.79 = 1,200.43/x
  3. Step 3: Cross multiply
    1,304.92x = 1,796.79 × 1,200.43
  4. Step 4: Simplify right side
    1,304.92x = 2,156,911.64
  5. Step 5: Solve for x
    x = 2,156,911.64/1,304.92
  6. Step 6: Final answer
    x = 1,652.91

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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.