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Finding the Fourth Proportional to 467.92, 645.60 and 310.78

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Solution

The fourth proportional to 467.92, 645.60 and 310.78 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.92 : 645.60 = 310.78 : x
  2. Step 2: Convert to fraction form
    467.92/645.60 = 310.78/x
  3. Step 3: Cross multiply
    467.92x = 645.60 × 310.78
  4. Step 4: Simplify right side
    467.92x = 200,639.57
  5. Step 5: Solve for x
    x = 200,639.57/467.92
  6. Step 6: Final answer
    x = 428.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.