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Finding the Fourth Proportional to 509.11, 764.15 and 326.62

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Solution

The fourth proportional to 509.11, 764.15 and 326.62 is: 490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.11 : 764.15 = 326.62 : x
  2. Step 2: Convert to fraction form
    509.11/764.15 = 326.62/x
  3. Step 3: Cross multiply
    509.11x = 764.15 × 326.62
  4. Step 4: Simplify right side
    509.11x = 249,586.67
  5. Step 5: Solve for x
    x = 249,586.67/509.11
  6. Step 6: Final answer
    x = 490.24

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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.