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Finding the Fourth Proportional to 512.80, 769.35 and 458.35

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Solution

The fourth proportional to 512.80, 769.35 and 458.35 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 769.35 = 458.35 : x
  2. Step 2: Convert to fraction form
    512.80/769.35 = 458.35/x
  3. Step 3: Cross multiply
    512.80x = 769.35 × 458.35
  4. Step 4: Simplify right side
    512.80x = 352,627.73
  5. Step 5: Solve for x
    x = 352,627.73/512.80
  6. Step 6: Final answer
    x = 687.66

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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.