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Finding the Fourth Proportional to 800.96, 1,201.50 and 411.08

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Solution

The fourth proportional to 800.96, 1,201.50 and 411.08 is: 616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.96 : 1,201.50 = 411.08 : x
  2. Step 2: Convert to fraction form
    800.96/1,201.50 = 411.08/x
  3. Step 3: Cross multiply
    800.96x = 1,201.50 × 411.08
  4. Step 4: Simplify right side
    800.96x = 493,906.61
  5. Step 5: Solve for x
    x = 493,906.61/800.96
  6. Step 6: Final answer
    x = 616.65

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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.