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Finding the Fourth Proportional to 1,100.08, 1,650.36 and 515.44

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Solution

The fourth proportional to 1,100.08, 1,650.36 and 515.44 is: 773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.08 : 1,650.36 = 515.44 : x
  2. Step 2: Convert to fraction form
    1,100.08/1,650.36 = 515.44/x
  3. Step 3: Cross multiply
    1,100.08x = 1,650.36 × 515.44
  4. Step 4: Simplify right side
    1,100.08x = 850,661.56
  5. Step 5: Solve for x
    x = 850,661.56/1,100.08
  6. Step 6: Final answer
    x = 773.27

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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.