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Finding the Fourth Proportional to 837.42, 1,252.89 and 511.26

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Solution

The fourth proportional to 837.42, 1,252.89 and 511.26 is: 764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.42 : 1,252.89 = 511.26 : x
  2. Step 2: Convert to fraction form
    837.42/1,252.89 = 511.26/x
  3. Step 3: Cross multiply
    837.42x = 1,252.89 × 511.26
  4. Step 4: Simplify right side
    837.42x = 640,552.54
  5. Step 5: Solve for x
    x = 640,552.54/837.42
  6. Step 6: Final answer
    x = 764.91

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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.