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Finding the Fourth Proportional to 1,072.65, 1,608.27 and 552.23

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Solution

The fourth proportional to 1,072.65, 1,608.27 and 552.23 is: 827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.65 : 1,608.27 = 552.23 : x
  2. Step 2: Convert to fraction form
    1,072.65/1,608.27 = 552.23/x
  3. Step 3: Cross multiply
    1,072.65x = 1,608.27 × 552.23
  4. Step 4: Simplify right side
    1,072.65x = 888,134.94
  5. Step 5: Solve for x
    x = 888,134.94/1,072.65
  6. Step 6: Final answer
    x = 827.98

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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.