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Finding the Fourth Proportional to 506.78, 759.62 and 232.46

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Solution

The fourth proportional to 506.78, 759.62 and 232.46 is: 348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.78 : 759.62 = 232.46 : x
  2. Step 2: Convert to fraction form
    506.78/759.62 = 232.46/x
  3. Step 3: Cross multiply
    506.78x = 759.62 × 232.46
  4. Step 4: Simplify right side
    506.78x = 176,581.27
  5. Step 5: Solve for x
    x = 176,581.27/506.78
  6. Step 6: Final answer
    x = 348.44

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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.