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Finding the Fourth Proportional to 512.77, 769.25 and 330.34

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Solution

The fourth proportional to 512.77, 769.25 and 330.34 is: 495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.77 : 769.25 = 330.34 : x
  2. Step 2: Convert to fraction form
    512.77/769.25 = 330.34/x
  3. Step 3: Cross multiply
    512.77x = 769.25 × 330.34
  4. Step 4: Simplify right side
    512.77x = 254,114.05
  5. Step 5: Solve for x
    x = 254,114.05/512.77
  6. Step 6: Final answer
    x = 495.57

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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.