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Finding the Fourth Proportional to 506.48, 759.45 and 344.21

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Solution

The fourth proportional to 506.48, 759.45 and 344.21 is: 516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.48 : 759.45 = 344.21 : x
  2. Step 2: Convert to fraction form
    506.48/759.45 = 344.21/x
  3. Step 3: Cross multiply
    506.48x = 759.45 × 344.21
  4. Step 4: Simplify right side
    506.48x = 261,410.28
  5. Step 5: Solve for x
    x = 261,410.28/506.48
  6. Step 6: Final answer
    x = 516.13

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Double scale
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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.