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Finding the Fourth Proportional to 1,212.81, 1,819.66 and 726.20

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Solution

The fourth proportional to 1,212.81, 1,819.66 and 726.20 is: 1,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.81 : 1,819.66 = 726.20 : x
  2. Step 2: Convert to fraction form
    1,212.81/1,819.66 = 726.20/x
  3. Step 3: Cross multiply
    1,212.81x = 1,819.66 × 726.20
  4. Step 4: Simplify right side
    1,212.81x = 1,321,437.09
  5. Step 5: Solve for x
    x = 1,321,437.09/1,212.81
  6. Step 6: Final answer
    x = 1,089.57

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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.