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Finding the Fourth Proportional to 1,163.03, 1,745.30 and 1,069.17

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Solution

The fourth proportional to 1,163.03, 1,745.30 and 1,069.17 is: 1,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.03 : 1,745.30 = 1,069.17 : x
  2. Step 2: Convert to fraction form
    1,163.03/1,745.30 = 1,069.17/x
  3. Step 3: Cross multiply
    1,163.03x = 1,745.30 × 1,069.17
  4. Step 4: Simplify right side
    1,163.03x = 1,866,025.07
  5. Step 5: Solve for x
    x = 1,866,025.07/1,163.03
  6. Step 6: Final answer
    x = 1,604.45

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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.