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Finding the Fourth Proportional to 1,249.41, 1,874.26 and 518.59

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Solution

The fourth proportional to 1,249.41, 1,874.26 and 518.59 is: 777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.41 : 1,874.26 = 518.59 : x
  2. Step 2: Convert to fraction form
    1,249.41/1,874.26 = 518.59/x
  3. Step 3: Cross multiply
    1,249.41x = 1,874.26 × 518.59
  4. Step 4: Simplify right side
    1,249.41x = 971,963.12
  5. Step 5: Solve for x
    x = 971,963.12/1,249.41
  6. Step 6: Final answer
    x = 777.94

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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.