Home / 1,109.20-1,662.78-378.60

Finding the Fourth Proportional to 1,109.20, 1,662.78 and 378.60

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Solution

The fourth proportional to 1,109.20, 1,662.78 and 378.60 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.20 : 1,662.78 = 378.60 : x
  2. Step 2: Convert to fraction form
    1,109.20/1,662.78 = 378.60/x
  3. Step 3: Cross multiply
    1,109.20x = 1,662.78 × 378.60
  4. Step 4: Simplify right side
    1,109.20x = 629,528.51
  5. Step 5: Solve for x
    x = 629,528.51/1,109.20
  6. Step 6: Final answer
    x = 567.55

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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.