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Finding the Fourth Proportional to 509.89, 765.24 and 419.17

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Solution

The fourth proportional to 509.89, 765.24 and 419.17 is: 629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.89 : 765.24 = 419.17 : x
  2. Step 2: Convert to fraction form
    509.89/765.24 = 419.17/x
  3. Step 3: Cross multiply
    509.89x = 765.24 × 419.17
  4. Step 4: Simplify right side
    509.89x = 320,765.65
  5. Step 5: Solve for x
    x = 320,765.65/509.89
  6. Step 6: Final answer
    x = 629.09

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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.