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Finding the Fourth Proportional to 506.39, 758.82 and 262.85

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Solution

The fourth proportional to 506.39, 758.82 and 262.85 is: 393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.39 : 758.82 = 262.85 : x
  2. Step 2: Convert to fraction form
    506.39/758.82 = 262.85/x
  3. Step 3: Cross multiply
    506.39x = 758.82 × 262.85
  4. Step 4: Simplify right side
    506.39x = 199,455.84
  5. Step 5: Solve for x
    x = 199,455.84/506.39
  6. Step 6: Final answer
    x = 393.88

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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.