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Finding the Fourth Proportional to 1,231.05, 1,849.28 and 908.49

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Solution

The fourth proportional to 1,231.05, 1,849.28 and 908.49 is: 1,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.05 : 1,849.28 = 908.49 : x
  2. Step 2: Convert to fraction form
    1,231.05/1,849.28 = 908.49/x
  3. Step 3: Cross multiply
    1,231.05x = 1,849.28 × 908.49
  4. Step 4: Simplify right side
    1,231.05x = 1,680,047.84
  5. Step 5: Solve for x
    x = 1,680,047.84/1,231.05
  6. Step 6: Final answer
    x = 1,364.73

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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.