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Finding the Fourth Proportional to 1,795.94, 2,694.01 and 641.69

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Solution

The fourth proportional to 1,795.94, 2,694.01 and 641.69 is: 962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.94 : 2,694.01 = 641.69 : x
  2. Step 2: Convert to fraction form
    1,795.94/2,694.01 = 641.69/x
  3. Step 3: Cross multiply
    1,795.94x = 2,694.01 × 641.69
  4. Step 4: Simplify right side
    1,795.94x = 1,728,719.28
  5. Step 5: Solve for x
    x = 1,728,719.28/1,795.94
  6. Step 6: Final answer
    x = 962.57

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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.