Home / 1,213.52-1,819.26-520.16

Finding the Fourth Proportional to 1,213.52, 1,819.26 and 520.16

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Solution

The fourth proportional to 1,213.52, 1,819.26 and 520.16 is: 779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.52 : 1,819.26 = 520.16 : x
  2. Step 2: Convert to fraction form
    1,213.52/1,819.26 = 520.16/x
  3. Step 3: Cross multiply
    1,213.52x = 1,819.26 × 520.16
  4. Step 4: Simplify right side
    1,213.52x = 946,297.19
  5. Step 5: Solve for x
    x = 946,297.19/1,213.52
  6. Step 6: Final answer
    x = 779.80

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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.