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Finding the Fourth Proportional to 1,163.21, 1,604.96 and 659.04

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Solution

The fourth proportional to 1,163.21, 1,604.96 and 659.04 is: 909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.21 : 1,604.96 = 659.04 : x
  2. Step 2: Convert to fraction form
    1,163.21/1,604.96 = 659.04/x
  3. Step 3: Cross multiply
    1,163.21x = 1,604.96 × 659.04
  4. Step 4: Simplify right side
    1,163.21x = 1,057,729.70
  5. Step 5: Solve for x
    x = 1,057,729.70/1,163.21
  6. Step 6: Final answer
    x = 909.32

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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.