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Finding the Fourth Proportional to 1,072.73, 1,609 and 552.46

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Solution

The fourth proportional to 1,072.73, 1,609 and 552.46 is: 828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.73 : 1,609 = 552.46 : x
  2. Step 2: Convert to fraction form
    1,072.73/1,609 = 552.46/x
  3. Step 3: Cross multiply
    1,072.73x = 1,609 × 552.46
  4. Step 4: Simplify right side
    1,072.73x = 888,908.14
  5. Step 5: Solve for x
    x = 888,908.14/1,072.73
  6. Step 6: Final answer
    x = 828.64

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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.