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Finding the Fourth Proportional to 814.39, 1,219.64 and 520.97

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Solution

The fourth proportional to 814.39, 1,219.64 and 520.97 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.39 : 1,219.64 = 520.97 : x
  2. Step 2: Convert to fraction form
    814.39/1,219.64 = 520.97/x
  3. Step 3: Cross multiply
    814.39x = 1,219.64 × 520.97
  4. Step 4: Simplify right side
    814.39x = 635,395.85
  5. Step 5: Solve for x
    x = 635,395.85/814.39
  6. Step 6: Final answer
    x = 780.21

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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.