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Finding the Fourth Proportional to 513.50, 769.40 and 339.94

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Solution

The fourth proportional to 513.50, 769.40 and 339.94 is: 509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 769.40 = 339.94 : x
  2. Step 2: Convert to fraction form
    513.50/769.40 = 339.94/x
  3. Step 3: Cross multiply
    513.50x = 769.40 × 339.94
  4. Step 4: Simplify right side
    513.50x = 261,544.29
  5. Step 5: Solve for x
    x = 261,544.29/513.50
  6. Step 6: Final answer
    x = 509.34

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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.