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Finding the Fourth Proportional to 1,163.03, 1,606.43 and 869.63

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Solution

The fourth proportional to 1,163.03, 1,606.43 and 869.63 is: 1,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.03 : 1,606.43 = 869.63 : x
  2. Step 2: Convert to fraction form
    1,163.03/1,606.43 = 869.63/x
  3. Step 3: Cross multiply
    1,163.03x = 1,606.43 × 869.63
  4. Step 4: Simplify right side
    1,163.03x = 1,396,999.72
  5. Step 5: Solve for x
    x = 1,396,999.72/1,163.03
  6. Step 6: Final answer
    x = 1,201.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.