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Finding the Fourth Proportional to 816.14, 1,122.98 and 796.70

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Solution

The fourth proportional to 816.14, 1,122.98 and 796.70 is: 1,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.14 : 1,122.98 = 796.70 : x
  2. Step 2: Convert to fraction form
    816.14/1,122.98 = 796.70/x
  3. Step 3: Cross multiply
    816.14x = 1,122.98 × 796.70
  4. Step 4: Simplify right side
    816.14x = 894,678.17
  5. Step 5: Solve for x
    x = 894,678.17/816.14
  6. Step 6: Final answer
    x = 1,096.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.