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Finding the Fourth Proportional to 843.88, 1,259.75 and 734.50

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Solution

The fourth proportional to 843.88, 1,259.75 and 734.50 is: 1,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.88 : 1,259.75 = 734.50 : x
  2. Step 2: Convert to fraction form
    843.88/1,259.75 = 734.50/x
  3. Step 3: Cross multiply
    843.88x = 1,259.75 × 734.50
  4. Step 4: Simplify right side
    843.88x = 925,286.38
  5. Step 5: Solve for x
    x = 925,286.38/843.88
  6. Step 6: Final answer
    x = 1,096.47

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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.