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Finding the Fourth Proportional to 509.73, 764.61 and 266.14

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Solution

The fourth proportional to 509.73, 764.61 and 266.14 is: 399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.73 : 764.61 = 266.14 : x
  2. Step 2: Convert to fraction form
    509.73/764.61 = 266.14/x
  3. Step 3: Cross multiply
    509.73x = 764.61 × 266.14
  4. Step 4: Simplify right side
    509.73x = 203,493.31
  5. Step 5: Solve for x
    x = 203,493.31/509.73
  6. Step 6: Final answer
    x = 399.22

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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.