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Finding the Fourth Proportional to 746.83, 1,031.09 and 481.39

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Solution

The fourth proportional to 746.83, 1,031.09 and 481.39 is: 664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.83 : 1,031.09 = 481.39 : x
  2. Step 2: Convert to fraction form
    746.83/1,031.09 = 481.39/x
  3. Step 3: Cross multiply
    746.83x = 1,031.09 × 481.39
  4. Step 4: Simplify right side
    746.83x = 496,356.42
  5. Step 5: Solve for x
    x = 496,356.42/746.83
  6. Step 6: Final answer
    x = 664.62

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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.