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Finding the Fourth Proportional to 734.09, 1,100.33 and 300.88

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Solution

The fourth proportional to 734.09, 1,100.33 and 300.88 is: 450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.09 : 1,100.33 = 300.88 : x
  2. Step 2: Convert to fraction form
    734.09/1,100.33 = 300.88/x
  3. Step 3: Cross multiply
    734.09x = 1,100.33 × 300.88
  4. Step 4: Simplify right side
    734.09x = 331,060.28
  5. Step 5: Solve for x
    x = 331,060.28/734.09
  6. Step 6: Final answer
    x = 450.98

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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.