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Finding the Fourth Proportional to 815.70, 1,222.20 and 694.20

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Solution

The fourth proportional to 815.70, 1,222.20 and 694.20 is: 1,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.70 : 1,222.20 = 694.20 : x
  2. Step 2: Convert to fraction form
    815.70/1,222.20 = 694.20/x
  3. Step 3: Cross multiply
    815.70x = 1,222.20 × 694.20
  4. Step 4: Simplify right side
    815.70x = 848,451.24
  5. Step 5: Solve for x
    x = 848,451.24/815.70
  6. Step 6: Final answer
    x = 1,040.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.