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Finding the Fourth Proportional to 509.97, 765.96 and 481.31

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Solution

The fourth proportional to 509.97, 765.96 and 481.31 is: 722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.97 : 765.96 = 481.31 : x
  2. Step 2: Convert to fraction form
    509.97/765.96 = 481.31/x
  3. Step 3: Cross multiply
    509.97x = 765.96 × 481.31
  4. Step 4: Simplify right side
    509.97x = 368,664.21
  5. Step 5: Solve for x
    x = 368,664.21/509.97
  6. Step 6: Final answer
    x = 722.91

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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.