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Finding the Fourth Proportional to 1,234.05, 1,850.46 and 816.90

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Solution

The fourth proportional to 1,234.05, 1,850.46 and 816.90 is: 1,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.05 : 1,850.46 = 816.90 : x
  2. Step 2: Convert to fraction form
    1,234.05/1,850.46 = 816.90/x
  3. Step 3: Cross multiply
    1,234.05x = 1,850.46 × 816.90
  4. Step 4: Simplify right side
    1,234.05x = 1,511,640.77
  5. Step 5: Solve for x
    x = 1,511,640.77/1,234.05
  6. Step 6: Final answer
    x = 1,224.94

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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.