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Finding the Fourth Proportional to 828.14, 1,247.78 and 739.70

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Solution

The fourth proportional to 828.14, 1,247.78 and 739.70 is: 1,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.14 : 1,247.78 = 739.70 : x
  2. Step 2: Convert to fraction form
    828.14/1,247.78 = 739.70/x
  3. Step 3: Cross multiply
    828.14x = 1,247.78 × 739.70
  4. Step 4: Simplify right side
    828.14x = 922,982.87
  5. Step 5: Solve for x
    x = 922,982.87/828.14
  6. Step 6: Final answer
    x = 1,114.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.