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Finding the Fourth Proportional to 734.46, 1,097.34 and 727.98

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Solution

The fourth proportional to 734.46, 1,097.34 and 727.98 is: 1,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.46 : 1,097.34 = 727.98 : x
  2. Step 2: Convert to fraction form
    734.46/1,097.34 = 727.98/x
  3. Step 3: Cross multiply
    734.46x = 1,097.34 × 727.98
  4. Step 4: Simplify right side
    734.46x = 798,841.57
  5. Step 5: Solve for x
    x = 798,841.57/734.46
  6. Step 6: Final answer
    x = 1,087.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.