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Finding the Fourth Proportional to 800.98, 1,202.18 and 411.25

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Solution

The fourth proportional to 800.98, 1,202.18 and 411.25 is: 617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.98 : 1,202.18 = 411.25 : x
  2. Step 2: Convert to fraction form
    800.98/1,202.18 = 411.25/x
  3. Step 3: Cross multiply
    800.98x = 1,202.18 × 411.25
  4. Step 4: Simplify right side
    800.98x = 494,396.53
  5. Step 5: Solve for x
    x = 494,396.53/800.98
  6. Step 6: Final answer
    x = 617.24

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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.