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Finding the Fourth Proportional to 580.22, 869.24 and 450.44

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Solution

The fourth proportional to 580.22, 869.24 and 450.44 is: 674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.22 : 869.24 = 450.44 : x
  2. Step 2: Convert to fraction form
    580.22/869.24 = 450.44/x
  3. Step 3: Cross multiply
    580.22x = 869.24 × 450.44
  4. Step 4: Simplify right side
    580.22x = 391,540.47
  5. Step 5: Solve for x
    x = 391,540.47/580.22
  6. Step 6: Final answer
    x = 674.81

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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.