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Finding the Fourth Proportional to 481.26, 722.11 and 286.64

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Solution

The fourth proportional to 481.26, 722.11 and 286.64 is: 430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.26 : 722.11 = 286.64 : x
  2. Step 2: Convert to fraction form
    481.26/722.11 = 286.64/x
  3. Step 3: Cross multiply
    481.26x = 722.11 × 286.64
  4. Step 4: Simplify right side
    481.26x = 206,985.61
  5. Step 5: Solve for x
    x = 206,985.61/481.26
  6. Step 6: Final answer
    x = 430.09

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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.