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Finding the Fourth Proportional to 512.64, 768.15 and 295.74

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Solution

The fourth proportional to 512.64, 768.15 and 295.74 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 768.15 = 295.74 : x
  2. Step 2: Convert to fraction form
    512.64/768.15 = 295.74/x
  3. Step 3: Cross multiply
    512.64x = 768.15 × 295.74
  4. Step 4: Simplify right side
    512.64x = 227,172.68
  5. Step 5: Solve for x
    x = 227,172.68/512.64
  6. Step 6: Final answer
    x = 443.14

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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.