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Finding the Fourth Proportional to 512.53, 770.28 and 426.43

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Solution

The fourth proportional to 512.53, 770.28 and 426.43 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.53 : 770.28 = 426.43 : x
  2. Step 2: Convert to fraction form
    512.53/770.28 = 426.43/x
  3. Step 3: Cross multiply
    512.53x = 770.28 × 426.43
  4. Step 4: Simplify right side
    512.53x = 328,470.50
  5. Step 5: Solve for x
    x = 328,470.50/512.53
  6. Step 6: Final answer
    x = 640.88

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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.