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Finding the Fourth Proportional to 481.74, 721.61 and 289.26

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Solution

The fourth proportional to 481.74, 721.61 and 289.26 is: 433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.74 : 721.61 = 289.26 : x
  2. Step 2: Convert to fraction form
    481.74/721.61 = 289.26/x
  3. Step 3: Cross multiply
    481.74x = 721.61 × 289.26
  4. Step 4: Simplify right side
    481.74x = 208,732.91
  5. Step 5: Solve for x
    x = 208,732.91/481.74
  6. Step 6: Final answer
    x = 433.29

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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.