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Finding the Fourth Proportional to 837.34, 1,255.64 and 447.27

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Solution

The fourth proportional to 837.34, 1,255.64 and 447.27 is: 670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.34 : 1,255.64 = 447.27 : x
  2. Step 2: Convert to fraction form
    837.34/1,255.64 = 447.27/x
  3. Step 3: Cross multiply
    837.34x = 1,255.64 × 447.27
  4. Step 4: Simplify right side
    837.34x = 561,607.87
  5. Step 5: Solve for x
    x = 561,607.87/837.34
  6. Step 6: Final answer
    x = 670.71

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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.