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Finding the Fourth Proportional to 575.83, 863.27 and 344.44

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Solution

The fourth proportional to 575.83, 863.27 and 344.44 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.83 : 863.27 = 344.44 : x
  2. Step 2: Convert to fraction form
    575.83/863.27 = 344.44/x
  3. Step 3: Cross multiply
    575.83x = 863.27 × 344.44
  4. Step 4: Simplify right side
    575.83x = 297,344.72
  5. Step 5: Solve for x
    x = 297,344.72/575.83
  6. Step 6: Final answer
    x = 516.38

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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.