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Finding the Fourth Proportional to 509.26, 762.96 and 326.68

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Solution

The fourth proportional to 509.26, 762.96 and 326.68 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.26 : 762.96 = 326.68 : x
  2. Step 2: Convert to fraction form
    509.26/762.96 = 326.68/x
  3. Step 3: Cross multiply
    509.26x = 762.96 × 326.68
  4. Step 4: Simplify right side
    509.26x = 249,243.77
  5. Step 5: Solve for x
    x = 249,243.77/509.26
  6. Step 6: Final answer
    x = 489.42

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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.