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Finding the Fourth Proportional to 1,213.12, 1,820.37 and 519.73

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Solution

The fourth proportional to 1,213.12, 1,820.37 and 519.73 is: 779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.12 : 1,820.37 = 519.73 : x
  2. Step 2: Convert to fraction form
    1,213.12/1,820.37 = 519.73/x
  3. Step 3: Cross multiply
    1,213.12x = 1,820.37 × 519.73
  4. Step 4: Simplify right side
    1,213.12x = 946,100.90
  5. Step 5: Solve for x
    x = 946,100.90/1,213.12
  6. Step 6: Final answer
    x = 779.89

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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.