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Finding the Fourth Proportional to 1,649.94, 2,469.94 and 1,063.78

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Solution

The fourth proportional to 1,649.94, 2,469.94 and 1,063.78 is: 1,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.94 : 2,469.94 = 1,063.78 : x
  2. Step 2: Convert to fraction form
    1,649.94/2,469.94 = 1,063.78/x
  3. Step 3: Cross multiply
    1,649.94x = 2,469.94 × 1,063.78
  4. Step 4: Simplify right side
    1,649.94x = 2,627,460.06
  5. Step 5: Solve for x
    x = 2,627,460.06/1,649.94
  6. Step 6: Final answer
    x = 1,592.46

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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.