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Finding the Fourth Proportional to 512.90, 769.83 and 220.58

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Solution

The fourth proportional to 512.90, 769.83 and 220.58 is: 331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.90 : 769.83 = 220.58 : x
  2. Step 2: Convert to fraction form
    512.90/769.83 = 220.58/x
  3. Step 3: Cross multiply
    512.90x = 769.83 × 220.58
  4. Step 4: Simplify right side
    512.90x = 169,809.10
  5. Step 5: Solve for x
    x = 169,809.10/512.90
  6. Step 6: Final answer
    x = 331.08

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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.