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Finding the Fourth Proportional to 513.98, 769.32 and 405.44

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Solution

The fourth proportional to 513.98, 769.32 and 405.44 is: 606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 769.32 = 405.44 : x
  2. Step 2: Convert to fraction form
    513.98/769.32 = 405.44/x
  3. Step 3: Cross multiply
    513.98x = 769.32 × 405.44
  4. Step 4: Simplify right side
    513.98x = 311,913.10
  5. Step 5: Solve for x
    x = 311,913.10/513.98
  6. Step 6: Final answer
    x = 606.86

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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.