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Finding the Fourth Proportional to 576.19, 863.56 and 287.71

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Solution

The fourth proportional to 576.19, 863.56 and 287.71 is: 431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.19 : 863.56 = 287.71 : x
  2. Step 2: Convert to fraction form
    576.19/863.56 = 287.71/x
  3. Step 3: Cross multiply
    576.19x = 863.56 × 287.71
  4. Step 4: Simplify right side
    576.19x = 248,454.85
  5. Step 5: Solve for x
    x = 248,454.85/576.19
  6. Step 6: Final answer
    x = 431.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.