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Finding the Fourth Proportional to 1,072.90, 1,609.09 and 495.22

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Solution

The fourth proportional to 1,072.90, 1,609.09 and 495.22 is: 742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.90 : 1,609.09 = 495.22 : x
  2. Step 2: Convert to fraction form
    1,072.90/1,609.09 = 495.22/x
  3. Step 3: Cross multiply
    1,072.90x = 1,609.09 × 495.22
  4. Step 4: Simplify right side
    1,072.90x = 796,853.55
  5. Step 5: Solve for x
    x = 796,853.55/1,072.90
  6. Step 6: Final answer
    x = 742.71

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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.