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Finding the Fourth Proportional to 1,072.83, 1,608.94 and 414.66

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Solution

The fourth proportional to 1,072.83, 1,608.94 and 414.66 is: 621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.83 : 1,608.94 = 414.66 : x
  2. Step 2: Convert to fraction form
    1,072.83/1,608.94 = 414.66/x
  3. Step 3: Cross multiply
    1,072.83x = 1,608.94 × 414.66
  4. Step 4: Simplify right side
    1,072.83x = 667,163.06
  5. Step 5: Solve for x
    x = 667,163.06/1,072.83
  6. Step 6: Final answer
    x = 621.87

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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.