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Finding the Fourth Proportional to 1,243.75, 1,718.24 and 819.39

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Solution

The fourth proportional to 1,243.75, 1,718.24 and 819.39 is: 1,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.75 : 1,718.24 = 819.39 : x
  2. Step 2: Convert to fraction form
    1,243.75/1,718.24 = 819.39/x
  3. Step 3: Cross multiply
    1,243.75x = 1,718.24 × 819.39
  4. Step 4: Simplify right side
    1,243.75x = 1,407,908.67
  5. Step 5: Solve for x
    x = 1,407,908.67/1,243.75
  6. Step 6: Final answer
    x = 1,131.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.