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Finding the Fourth Proportional to 801.02, 1,201.84 and 411.21

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Solution

The fourth proportional to 801.02, 1,201.84 and 411.21 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.02 : 1,201.84 = 411.21 : x
  2. Step 2: Convert to fraction form
    801.02/1,201.84 = 411.21/x
  3. Step 3: Cross multiply
    801.02x = 1,201.84 × 411.21
  4. Step 4: Simplify right side
    801.02x = 494,207.60
  5. Step 5: Solve for x
    x = 494,207.60/801.02
  6. Step 6: Final answer
    x = 616.97

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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.