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Finding the Fourth Proportional to 509.87, 764.79 and 144.65

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Solution

The fourth proportional to 509.87, 764.79 and 144.65 is: 216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.87 : 764.79 = 144.65 : x
  2. Step 2: Convert to fraction form
    509.87/764.79 = 144.65/x
  3. Step 3: Cross multiply
    509.87x = 764.79 × 144.65
  4. Step 4: Simplify right side
    509.87x = 110,623.05
  5. Step 5: Solve for x
    x = 110,623.05/509.87
  6. Step 6: Final answer
    x = 216.97

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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.