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Finding the Fourth Proportional to 837.77, 1,255.39 and 663.73

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Solution

The fourth proportional to 837.77, 1,255.39 and 663.73 is: 994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.77 : 1,255.39 = 663.73 : x
  2. Step 2: Convert to fraction form
    837.77/1,255.39 = 663.73/x
  3. Step 3: Cross multiply
    837.77x = 1,255.39 × 663.73
  4. Step 4: Simplify right side
    837.77x = 833,235.21
  5. Step 5: Solve for x
    x = 833,235.21/837.77
  6. Step 6: Final answer
    x = 994.59

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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.