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Finding the Fourth Proportional to 735.76, 1,101.92 and 729.55

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Solution

The fourth proportional to 735.76, 1,101.92 and 729.55 is: 1,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.76 : 1,101.92 = 729.55 : x
  2. Step 2: Convert to fraction form
    735.76/1,101.92 = 729.55/x
  3. Step 3: Cross multiply
    735.76x = 1,101.92 × 729.55
  4. Step 4: Simplify right side
    735.76x = 803,899.33
  5. Step 5: Solve for x
    x = 803,899.33/735.76
  6. Step 6: Final answer
    x = 1,092.61

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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.