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Finding the Fourth Proportional to 1,404.89, 2,107.46 and 481.09

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Solution

The fourth proportional to 1,404.89, 2,107.46 and 481.09 is: 721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.89 : 2,107.46 = 481.09 : x
  2. Step 2: Convert to fraction form
    1,404.89/2,107.46 = 481.09/x
  3. Step 3: Cross multiply
    1,404.89x = 2,107.46 × 481.09
  4. Step 4: Simplify right side
    1,404.89x = 1,013,877.93
  5. Step 5: Solve for x
    x = 1,013,877.93/1,404.89
  6. Step 6: Final answer
    x = 721.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.