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Finding the Fourth Proportional to 511.70, 766.74 and 396.43

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Solution

The fourth proportional to 511.70, 766.74 and 396.43 is: 594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.70 : 766.74 = 396.43 : x
  2. Step 2: Convert to fraction form
    511.70/766.74 = 396.43/x
  3. Step 3: Cross multiply
    511.70x = 766.74 × 396.43
  4. Step 4: Simplify right side
    511.70x = 303,958.74
  5. Step 5: Solve for x
    x = 303,958.74/511.70
  6. Step 6: Final answer
    x = 594.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.