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Finding the Fourth Proportional to 735.90, 1,104.46 and 659.36

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Solution

The fourth proportional to 735.90, 1,104.46 and 659.36 is: 989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.90 : 1,104.46 = 659.36 : x
  2. Step 2: Convert to fraction form
    735.90/1,104.46 = 659.36/x
  3. Step 3: Cross multiply
    735.90x = 1,104.46 × 659.36
  4. Step 4: Simplify right side
    735.90x = 728,229.57
  5. Step 5: Solve for x
    x = 728,229.57/735.90
  6. Step 6: Final answer
    x = 989.58

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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.