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Finding the Fourth Proportional to 837.82, 1,255.31 and 512.51

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Solution

The fourth proportional to 837.82, 1,255.31 and 512.51 is: 767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.82 : 1,255.31 = 512.51 : x
  2. Step 2: Convert to fraction form
    837.82/1,255.31 = 512.51/x
  3. Step 3: Cross multiply
    837.82x = 1,255.31 × 512.51
  4. Step 4: Simplify right side
    837.82x = 643,350.09
  5. Step 5: Solve for x
    x = 643,350.09/837.82
  6. Step 6: Final answer
    x = 767.89

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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.