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Finding the Fourth Proportional to 576.63, 863.33 and 301.43

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Solution

The fourth proportional to 576.63, 863.33 and 301.43 is: 451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.63 : 863.33 = 301.43 : x
  2. Step 2: Convert to fraction form
    576.63/863.33 = 301.43/x
  3. Step 3: Cross multiply
    576.63x = 863.33 × 301.43
  4. Step 4: Simplify right side
    576.63x = 260,234.21
  5. Step 5: Solve for x
    x = 260,234.21/576.63
  6. Step 6: Final answer
    x = 451.30

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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.