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Finding the Fourth Proportional to 735.73, 1,100.84 and 443.35

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Solution

The fourth proportional to 735.73, 1,100.84 and 443.35 is: 663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.73 : 1,100.84 = 443.35 : x
  2. Step 2: Convert to fraction form
    735.73/1,100.84 = 443.35/x
  3. Step 3: Cross multiply
    735.73x = 1,100.84 × 443.35
  4. Step 4: Simplify right side
    735.73x = 488,055.20
  5. Step 5: Solve for x
    x = 488,055.20/735.73
  6. Step 6: Final answer
    x = 663.36

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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.