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Finding the Fourth Proportional to 734.34, 1,099.40 and 676.92

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Solution

The fourth proportional to 734.34, 1,099.40 and 676.92 is: 1,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.34 : 1,099.40 = 676.92 : x
  2. Step 2: Convert to fraction form
    734.34/1,099.40 = 676.92/x
  3. Step 3: Cross multiply
    734.34x = 1,099.40 × 676.92
  4. Step 4: Simplify right side
    734.34x = 744,205.85
  5. Step 5: Solve for x
    x = 744,205.85/734.34
  6. Step 6: Final answer
    x = 1,013.43

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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.