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Finding the Fourth Proportional to 506.25, 757.63 and 311.12

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Solution

The fourth proportional to 506.25, 757.63 and 311.12 is: 465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 757.63 = 311.12 : x
  2. Step 2: Convert to fraction form
    506.25/757.63 = 311.12/x
  3. Step 3: Cross multiply
    506.25x = 757.63 × 311.12
  4. Step 4: Simplify right side
    506.25x = 235,713.85
  5. Step 5: Solve for x
    x = 235,713.85/506.25
  6. Step 6: Final answer
    x = 465.61

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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.