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Finding the Fourth Proportional to 837.91, 1,157.84 and 628.80

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Solution

The fourth proportional to 837.91, 1,157.84 and 628.80 is: 868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.91 : 1,157.84 = 628.80 : x
  2. Step 2: Convert to fraction form
    837.91/1,157.84 = 628.80/x
  3. Step 3: Cross multiply
    837.91x = 1,157.84 × 628.80
  4. Step 4: Simplify right side
    837.91x = 728,049.79
  5. Step 5: Solve for x
    x = 728,049.79/837.91
  6. Step 6: Final answer
    x = 868.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.