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Finding the Fourth Proportional to 505.49, 757.88 and 408.11

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Solution

The fourth proportional to 505.49, 757.88 and 408.11 is: 611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.49 : 757.88 = 408.11 : x
  2. Step 2: Convert to fraction form
    505.49/757.88 = 408.11/x
  3. Step 3: Cross multiply
    505.49x = 757.88 × 408.11
  4. Step 4: Simplify right side
    505.49x = 309,296.37
  5. Step 5: Solve for x
    x = 309,296.37/505.49
  6. Step 6: Final answer
    x = 611.87

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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.