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Finding the Fourth Proportional to 576.46, 862.83 and 312.56

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Solution

The fourth proportional to 576.46, 862.83 and 312.56 is: 467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.46 : 862.83 = 312.56 : x
  2. Step 2: Convert to fraction form
    576.46/862.83 = 312.56/x
  3. Step 3: Cross multiply
    576.46x = 862.83 × 312.56
  4. Step 4: Simplify right side
    576.46x = 269,680.27
  5. Step 5: Solve for x
    x = 269,680.27/576.46
  6. Step 6: Final answer
    x = 467.82

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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.