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Finding the Fourth Proportional to 512.79, 769.38 and 296.34

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Solution

The fourth proportional to 512.79, 769.38 and 296.34 is: 444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.79 : 769.38 = 296.34 : x
  2. Step 2: Convert to fraction form
    512.79/769.38 = 296.34/x
  3. Step 3: Cross multiply
    512.79x = 769.38 × 296.34
  4. Step 4: Simplify right side
    512.79x = 227,998.07
  5. Step 5: Solve for x
    x = 227,998.07/512.79
  6. Step 6: Final answer
    x = 444.62

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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.