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Finding the Fourth Proportional to 512.92, 769.77 and 306.87

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Solution

The fourth proportional to 512.92, 769.77 and 306.87 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 769.77 = 306.87 : x
  2. Step 2: Convert to fraction form
    512.92/769.77 = 306.87/x
  3. Step 3: Cross multiply
    512.92x = 769.77 × 306.87
  4. Step 4: Simplify right side
    512.92x = 236,219.32
  5. Step 5: Solve for x
    x = 236,219.32/512.92
  6. Step 6: Final answer
    x = 460.54

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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.