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Finding the Fourth Proportional to 1,200.14, 1,800.50 and 378.44

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Solution

The fourth proportional to 1,200.14, 1,800.50 and 378.44 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.14 : 1,800.50 = 378.44 : x
  2. Step 2: Convert to fraction form
    1,200.14/1,800.50 = 378.44/x
  3. Step 3: Cross multiply
    1,200.14x = 1,800.50 × 378.44
  4. Step 4: Simplify right side
    1,200.14x = 681,370.33
  5. Step 5: Solve for x
    x = 681,370.33/1,200.14
  6. Step 6: Final answer
    x = 567.74

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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.