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Finding the Fourth Proportional to 730.72, 1,007.82 and 481.64

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Solution

The fourth proportional to 730.72, 1,007.82 and 481.64 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.72 : 1,007.82 = 481.64 : x
  2. Step 2: Convert to fraction form
    730.72/1,007.82 = 481.64/x
  3. Step 3: Cross multiply
    730.72x = 1,007.82 × 481.64
  4. Step 4: Simplify right side
    730.72x = 485,406.42
  5. Step 5: Solve for x
    x = 485,406.42/730.72
  6. Step 6: Final answer
    x = 664.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.