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Finding the Fourth Proportional to 576.06, 863.78 and 301.48

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Solution

The fourth proportional to 576.06, 863.78 and 301.48 is: 452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 863.78 = 301.48 : x
  2. Step 2: Convert to fraction form
    576.06/863.78 = 301.48/x
  3. Step 3: Cross multiply
    576.06x = 863.78 × 301.48
  4. Step 4: Simplify right side
    576.06x = 260,412.39
  5. Step 5: Solve for x
    x = 260,412.39/576.06
  6. Step 6: Final answer
    x = 452.06

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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.