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Finding the Fourth Proportional to 1,219.43, 1,830.77 and 726.75

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Solution

The fourth proportional to 1,219.43, 1,830.77 and 726.75 is: 1,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.43 : 1,830.77 = 726.75 : x
  2. Step 2: Convert to fraction form
    1,219.43/1,830.77 = 726.75/x
  3. Step 3: Cross multiply
    1,219.43x = 1,830.77 × 726.75
  4. Step 4: Simplify right side
    1,219.43x = 1,330,512.10
  5. Step 5: Solve for x
    x = 1,330,512.10/1,219.43
  6. Step 6: Final answer
    x = 1,091.09

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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.