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Finding the Fourth Proportional to 1,163.43, 1,745.26 and 432.84

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Solution

The fourth proportional to 1,163.43, 1,745.26 and 432.84 is: 649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.43 : 1,745.26 = 432.84 : x
  2. Step 2: Convert to fraction form
    1,163.43/1,745.26 = 432.84/x
  3. Step 3: Cross multiply
    1,163.43x = 1,745.26 × 432.84
  4. Step 4: Simplify right side
    1,163.43x = 755,412.33
  5. Step 5: Solve for x
    x = 755,412.33/1,163.43
  6. Step 6: Final answer
    x = 649.30

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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.