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Finding the Fourth Proportional to 735.54, 1,102.43 and 323.81

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Solution

The fourth proportional to 735.54, 1,102.43 and 323.81 is: 485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.54 : 1,102.43 = 323.81 : x
  2. Step 2: Convert to fraction form
    735.54/1,102.43 = 323.81/x
  3. Step 3: Cross multiply
    735.54x = 1,102.43 × 323.81
  4. Step 4: Simplify right side
    735.54x = 356,977.86
  5. Step 5: Solve for x
    x = 356,977.86/735.54
  6. Step 6: Final answer
    x = 485.33

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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.