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Finding the Fourth Proportional to 1,223.22, 1,686.78 and 850.62

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Solution

The fourth proportional to 1,223.22, 1,686.78 and 850.62 is: 1,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.22 : 1,686.78 = 850.62 : x
  2. Step 2: Convert to fraction form
    1,223.22/1,686.78 = 850.62/x
  3. Step 3: Cross multiply
    1,223.22x = 1,686.78 × 850.62
  4. Step 4: Simplify right side
    1,223.22x = 1,434,808.80
  5. Step 5: Solve for x
    x = 1,434,808.80/1,223.22
  6. Step 6: Final answer
    x = 1,172.98

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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.