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Finding the Fourth Proportional to 1,494.21, 2,241.31 and 519.63

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Solution

The fourth proportional to 1,494.21, 2,241.31 and 519.63 is: 779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.21 : 2,241.31 = 519.63 : x
  2. Step 2: Convert to fraction form
    1,494.21/2,241.31 = 519.63/x
  3. Step 3: Cross multiply
    1,494.21x = 2,241.31 × 519.63
  4. Step 4: Simplify right side
    1,494.21x = 1,164,651.92
  5. Step 5: Solve for x
    x = 1,164,651.92/1,494.21
  6. Step 6: Final answer
    x = 779.44

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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.