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Finding the Fourth Proportional to 1,100.07, 1,518.36 and 727.07

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Solution

The fourth proportional to 1,100.07, 1,518.36 and 727.07 is: 1,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.07 : 1,518.36 = 727.07 : x
  2. Step 2: Convert to fraction form
    1,100.07/1,518.36 = 727.07/x
  3. Step 3: Cross multiply
    1,100.07x = 1,518.36 × 727.07
  4. Step 4: Simplify right side
    1,100.07x = 1,103,942.78
  5. Step 5: Solve for x
    x = 1,103,942.78/1,100.07
  6. Step 6: Final answer
    x = 1,003.52

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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.