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Finding the Fourth Proportional to 733.37, 1,013.15 and 481.89

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Solution

The fourth proportional to 733.37, 1,013.15 and 481.89 is: 665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.37 : 1,013.15 = 481.89 : x
  2. Step 2: Convert to fraction form
    733.37/1,013.15 = 481.89/x
  3. Step 3: Cross multiply
    733.37x = 1,013.15 × 481.89
  4. Step 4: Simplify right side
    733.37x = 488,224.44
  5. Step 5: Solve for x
    x = 488,224.44/733.37
  6. Step 6: Final answer
    x = 665.73

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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.