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Finding the Fourth Proportional to 734.34, 1,100.75 and 323.77

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Solution

The fourth proportional to 734.34, 1,100.75 and 323.77 is: 485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.34 : 1,100.75 = 323.77 : x
  2. Step 2: Convert to fraction form
    734.34/1,100.75 = 323.77/x
  3. Step 3: Cross multiply
    734.34x = 1,100.75 × 323.77
  4. Step 4: Simplify right side
    734.34x = 356,391.53
  5. Step 5: Solve for x
    x = 356,391.53/734.34
  6. Step 6: Final answer
    x = 485.32

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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.