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Finding the Fourth Proportional to 730.60, 1,006.61 and 481.48

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Solution

The fourth proportional to 730.60, 1,006.61 and 481.48 is: 663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,006.61 = 481.48 : x
  2. Step 2: Convert to fraction form
    730.60/1,006.61 = 481.48/x
  3. Step 3: Cross multiply
    730.60x = 1,006.61 × 481.48
  4. Step 4: Simplify right side
    730.60x = 484,655.14
  5. Step 5: Solve for x
    x = 484,655.14/730.60
  6. Step 6: Final answer
    x = 663.37

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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.