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Finding the Fourth Proportional to 1,200.40, 1,800.32 and 378.80

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Solution

The fourth proportional to 1,200.40, 1,800.32 and 378.80 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.40 : 1,800.32 = 378.80 : x
  2. Step 2: Convert to fraction form
    1,200.40/1,800.32 = 378.80/x
  3. Step 3: Cross multiply
    1,200.40x = 1,800.32 × 378.80
  4. Step 4: Simplify right side
    1,200.40x = 681,961.22
  5. Step 5: Solve for x
    x = 681,961.22/1,200.40
  6. Step 6: Final answer
    x = 568.11

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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.