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Finding the Fourth Proportional to 730.09, 1,007.72 and 415.54

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Solution

The fourth proportional to 730.09, 1,007.72 and 415.54 is: 573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.09 : 1,007.72 = 415.54 : x
  2. Step 2: Convert to fraction form
    730.09/1,007.72 = 415.54/x
  3. Step 3: Cross multiply
    730.09x = 1,007.72 × 415.54
  4. Step 4: Simplify right side
    730.09x = 418,747.97
  5. Step 5: Solve for x
    x = 418,747.97/730.09
  6. Step 6: Final answer
    x = 573.56

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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.