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Finding the Fourth Proportional to 509.86, 764.79 and 326.80

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Solution

The fourth proportional to 509.86, 764.79 and 326.80 is: 490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.86 : 764.79 = 326.80 : x
  2. Step 2: Convert to fraction form
    509.86/764.79 = 326.80/x
  3. Step 3: Cross multiply
    509.86x = 764.79 × 326.80
  4. Step 4: Simplify right side
    509.86x = 249,927.91
  5. Step 5: Solve for x
    x = 249,927.91/509.86
  6. Step 6: Final answer
    x = 490.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.