Home / 1,214.20-1,819.20-563.60

Finding the Fourth Proportional to 1,214.20, 1,819.20 and 563.60

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Solution

The fourth proportional to 1,214.20, 1,819.20 and 563.60 is: 844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.20 : 1,819.20 = 563.60 : x
  2. Step 2: Convert to fraction form
    1,214.20/1,819.20 = 563.60/x
  3. Step 3: Cross multiply
    1,214.20x = 1,819.20 × 563.60
  4. Step 4: Simplify right side
    1,214.20x = 1,025,301.12
  5. Step 5: Solve for x
    x = 1,025,301.12/1,214.20
  6. Step 6: Final answer
    x = 844.43

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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.