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Finding the Fourth Proportional to 1,272.03, 1,906.74 and 723.05

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Solution

The fourth proportional to 1,272.03, 1,906.74 and 723.05 is: 1,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.03 : 1,906.74 = 723.05 : x
  2. Step 2: Convert to fraction form
    1,272.03/1,906.74 = 723.05/x
  3. Step 3: Cross multiply
    1,272.03x = 1,906.74 × 723.05
  4. Step 4: Simplify right side
    1,272.03x = 1,378,668.36
  5. Step 5: Solve for x
    x = 1,378,668.36/1,272.03
  6. Step 6: Final answer
    x = 1,083.83

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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.