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Finding the Fourth Proportional to 734.62, 1,020.89 and 725.44

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Solution

The fourth proportional to 734.62, 1,020.89 and 725.44 is: 1,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.62 : 1,020.89 = 725.44 : x
  2. Step 2: Convert to fraction form
    734.62/1,020.89 = 725.44/x
  3. Step 3: Cross multiply
    734.62x = 1,020.89 × 725.44
  4. Step 4: Simplify right side
    734.62x = 740,594.44
  5. Step 5: Solve for x
    x = 740,594.44/734.62
  6. Step 6: Final answer
    x = 1,008.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.