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Finding the Fourth Proportional to 509.25, 762.31 and 326.82

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Solution

The fourth proportional to 509.25, 762.31 and 326.82 is: 489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 762.31 = 326.82 : x
  2. Step 2: Convert to fraction form
    509.25/762.31 = 326.82/x
  3. Step 3: Cross multiply
    509.25x = 762.31 × 326.82
  4. Step 4: Simplify right side
    509.25x = 249,138.15
  5. Step 5: Solve for x
    x = 249,138.15/509.25
  6. Step 6: Final answer
    x = 489.23

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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.