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Finding the Fourth Proportional to 1,649.42, 2,474.54 and 1,163.42

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Solution

The fourth proportional to 1,649.42, 2,474.54 and 1,163.42 is: 1,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.42 : 2,474.54 = 1,163.42 : x
  2. Step 2: Convert to fraction form
    1,649.42/2,474.54 = 1,163.42/x
  3. Step 3: Cross multiply
    1,649.42x = 2,474.54 × 1,163.42
  4. Step 4: Simplify right side
    1,649.42x = 2,878,911.14
  5. Step 5: Solve for x
    x = 2,878,911.14/1,649.42
  6. Step 6: Final answer
    x = 1,745.41

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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.