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Finding the Fourth Proportional to 837.96, 1,255.04 and 447.27

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Solution

The fourth proportional to 837.96, 1,255.04 and 447.27 is: 669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.96 : 1,255.04 = 447.27 : x
  2. Step 2: Convert to fraction form
    837.96/1,255.04 = 447.27/x
  3. Step 3: Cross multiply
    837.96x = 1,255.04 × 447.27
  4. Step 4: Simplify right side
    837.96x = 561,341.74
  5. Step 5: Solve for x
    x = 561,341.74/837.96
  6. Step 6: Final answer
    x = 669.89

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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.