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Finding the Fourth Proportional to 1,226.34, 1,838.97 and 763.42

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Solution

The fourth proportional to 1,226.34, 1,838.97 and 763.42 is: 1,144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.34 : 1,838.97 = 763.42 : x
  2. Step 2: Convert to fraction form
    1,226.34/1,838.97 = 763.42/x
  3. Step 3: Cross multiply
    1,226.34x = 1,838.97 × 763.42
  4. Step 4: Simplify right side
    1,226.34x = 1,403,906.48
  5. Step 5: Solve for x
    x = 1,403,906.48/1,226.34
  6. Step 6: Final answer
    x = 1,144.79

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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.