Home / 1,213.46-1,819.10-563.84

Finding the Fourth Proportional to 1,213.46, 1,819.10 and 563.84

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Solution

The fourth proportional to 1,213.46, 1,819.10 and 563.84 is: 845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.46 : 1,819.10 = 563.84 : x
  2. Step 2: Convert to fraction form
    1,213.46/1,819.10 = 563.84/x
  3. Step 3: Cross multiply
    1,213.46x = 1,819.10 × 563.84
  4. Step 4: Simplify right side
    1,213.46x = 1,025,673.66
  5. Step 5: Solve for x
    x = 1,025,673.66/1,213.46
  6. Step 6: Final answer
    x = 845.25

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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.