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Finding the Fourth Proportional to 509.87, 764.59 and 217.29

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Solution

The fourth proportional to 509.87, 764.59 and 217.29 is: 325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.87 : 764.59 = 217.29 : x
  2. Step 2: Convert to fraction form
    509.87/764.59 = 217.29/x
  3. Step 3: Cross multiply
    509.87x = 764.59 × 217.29
  4. Step 4: Simplify right side
    509.87x = 166,136.67
  5. Step 5: Solve for x
    x = 166,136.67/509.87
  6. Step 6: Final answer
    x = 325.84

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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.