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Finding the Fourth Proportional to 1,204.69, 1,809.59 and 1,134.47

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Solution

The fourth proportional to 1,204.69, 1,809.59 and 1,134.47 is: 1,704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.69 : 1,809.59 = 1,134.47 : x
  2. Step 2: Convert to fraction form
    1,204.69/1,809.59 = 1,134.47/x
  3. Step 3: Cross multiply
    1,204.69x = 1,809.59 × 1,134.47
  4. Step 4: Simplify right side
    1,204.69x = 2,052,910.85
  5. Step 5: Solve for x
    x = 2,052,910.85/1,204.69
  6. Step 6: Final answer
    x = 1,704.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.