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Finding the Fourth Proportional to 512.73, 769.50 and 451.98

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Solution

The fourth proportional to 512.73, 769.50 and 451.98 is: 678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 769.50 = 451.98 : x
  2. Step 2: Convert to fraction form
    512.73/769.50 = 451.98/x
  3. Step 3: Cross multiply
    512.73x = 769.50 × 451.98
  4. Step 4: Simplify right side
    512.73x = 347,798.61
  5. Step 5: Solve for x
    x = 347,798.61/512.73
  6. Step 6: Final answer
    x = 678.33

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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.