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Finding the Fourth Proportional to 1,163.84, 1,745.21 and 432.95

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Solution

The fourth proportional to 1,163.84, 1,745.21 and 432.95 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.84 : 1,745.21 = 432.95 : x
  2. Step 2: Convert to fraction form
    1,163.84/1,745.21 = 432.95/x
  3. Step 3: Cross multiply
    1,163.84x = 1,745.21 × 432.95
  4. Step 4: Simplify right side
    1,163.84x = 755,581.03
  5. Step 5: Solve for x
    x = 755,581.03/1,163.84
  6. Step 6: Final answer
    x = 649.22

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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.