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Finding the Fourth Proportional to 1,418.43, 2,126.97 and 540.98

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Solution

The fourth proportional to 1,418.43, 2,126.97 and 540.98 is: 811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.43 : 2,126.97 = 540.98 : x
  2. Step 2: Convert to fraction form
    1,418.43/2,126.97 = 540.98/x
  3. Step 3: Cross multiply
    1,418.43x = 2,126.97 × 540.98
  4. Step 4: Simplify right side
    1,418.43x = 1,150,637.60
  5. Step 5: Solve for x
    x = 1,150,637.60/1,418.43
  6. Step 6: Final answer
    x = 811.21

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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.