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Finding the Fourth Proportional to 1,550.88, 2,319.12 and 1,200.24

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Solution

The fourth proportional to 1,550.88, 2,319.12 and 1,200.24 is: 1,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.88 : 2,319.12 = 1,200.24 : x
  2. Step 2: Convert to fraction form
    1,550.88/2,319.12 = 1,200.24/x
  3. Step 3: Cross multiply
    1,550.88x = 2,319.12 × 1,200.24
  4. Step 4: Simplify right side
    1,550.88x = 2,783,500.59
  5. Step 5: Solve for x
    x = 2,783,500.59/1,550.88
  6. Step 6: Final answer
    x = 1,794.79

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