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Finding the Fourth Proportional to 908.92, 1,363.50 and 447.56

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Solution

The fourth proportional to 908.92, 1,363.50 and 447.56 is: 671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.92 : 1,363.50 = 447.56 : x
  2. Step 2: Convert to fraction form
    908.92/1,363.50 = 447.56/x
  3. Step 3: Cross multiply
    908.92x = 1,363.50 × 447.56
  4. Step 4: Simplify right side
    908.92x = 610,248.06
  5. Step 5: Solve for x
    x = 610,248.06/908.92
  6. Step 6: Final answer
    x = 671.40

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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.