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Finding the Fourth Proportional to 1,322.97, 1,823.97 and 850.02

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Solution

The fourth proportional to 1,322.97, 1,823.97 and 850.02 is: 1,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.97 : 1,823.97 = 850.02 : x
  2. Step 2: Convert to fraction form
    1,322.97/1,823.97 = 850.02/x
  3. Step 3: Cross multiply
    1,322.97x = 1,823.97 × 850.02
  4. Step 4: Simplify right side
    1,322.97x = 1,550,410.98
  5. Step 5: Solve for x
    x = 1,550,410.98/1,322.97
  6. Step 6: Final answer
    x = 1,171.92

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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.