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Finding the Fourth Proportional to 1,640.09, 2,458.84 and 817.94

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Solution

The fourth proportional to 1,640.09, 2,458.84 and 817.94 is: 1,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.09 : 2,458.84 = 817.94 : x
  2. Step 2: Convert to fraction form
    1,640.09/2,458.84 = 817.94/x
  3. Step 3: Cross multiply
    1,640.09x = 2,458.84 × 817.94
  4. Step 4: Simplify right side
    1,640.09x = 2,011,183.59
  5. Step 5: Solve for x
    x = 2,011,183.59/1,640.09
  6. Step 6: Final answer
    x = 1,226.26

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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.