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Finding the Fourth Proportional to 1,455.91, 2,183.39 and 481.78

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Solution

The fourth proportional to 1,455.91, 2,183.39 and 481.78 is: 722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.91 : 2,183.39 = 481.78 : x
  2. Step 2: Convert to fraction form
    1,455.91/2,183.39 = 481.78/x
  3. Step 3: Cross multiply
    1,455.91x = 2,183.39 × 481.78
  4. Step 4: Simplify right side
    1,455.91x = 1,051,915.76
  5. Step 5: Solve for x
    x = 1,051,915.76/1,455.91
  6. Step 6: Final answer
    x = 722.52

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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.