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Finding the Fourth Proportional to 506.49, 759.37 and 409.11

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Solution

The fourth proportional to 506.49, 759.37 and 409.11 is: 613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.49 : 759.37 = 409.11 : x
  2. Step 2: Convert to fraction form
    506.49/759.37 = 409.11/x
  3. Step 3: Cross multiply
    506.49x = 759.37 × 409.11
  4. Step 4: Simplify right side
    506.49x = 310,665.86
  5. Step 5: Solve for x
    x = 310,665.86/506.49
  6. Step 6: Final answer
    x = 613.37

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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.