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Finding the Fourth Proportional to 1,163.36, 1,745.01 and 432.95

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Solution

The fourth proportional to 1,163.36, 1,745.01 and 432.95 is: 649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.36 : 1,745.01 = 432.95 : x
  2. Step 2: Convert to fraction form
    1,163.36/1,745.01 = 432.95/x
  3. Step 3: Cross multiply
    1,163.36x = 1,745.01 × 432.95
  4. Step 4: Simplify right side
    1,163.36x = 755,493.35
  5. Step 5: Solve for x
    x = 755,493.35/1,163.36
  6. Step 6: Final answer
    x = 649.40

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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.