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Finding the Fourth Proportional to 509.92, 764.96 and 419.44

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Solution

The fourth proportional to 509.92, 764.96 and 419.44 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 764.96 = 419.44 : x
  2. Step 2: Convert to fraction form
    509.92/764.96 = 419.44/x
  3. Step 3: Cross multiply
    509.92x = 764.96 × 419.44
  4. Step 4: Simplify right side
    509.92x = 320,854.82
  5. Step 5: Solve for x
    x = 320,854.82/509.92
  6. Step 6: Final answer
    x = 629.23

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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.