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Finding the Fourth Proportional to 509.11, 762.76 and 234.62

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Solution

The fourth proportional to 509.11, 762.76 and 234.62 is: 351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.11 : 762.76 = 234.62 : x
  2. Step 2: Convert to fraction form
    509.11/762.76 = 234.62/x
  3. Step 3: Cross multiply
    509.11x = 762.76 × 234.62
  4. Step 4: Simplify right side
    509.11x = 178,958.75
  5. Step 5: Solve for x
    x = 178,958.75/509.11
  6. Step 6: Final answer
    x = 351.51

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Double scale
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Similar ratio
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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.