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Finding the Fourth Proportional to 1,322.19, 1,824.80 and 902.97

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Solution

The fourth proportional to 1,322.19, 1,824.80 and 902.97 is: 1,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.19 : 1,824.80 = 902.97 : x
  2. Step 2: Convert to fraction form
    1,322.19/1,824.80 = 902.97/x
  3. Step 3: Cross multiply
    1,322.19x = 1,824.80 × 902.97
  4. Step 4: Simplify right side
    1,322.19x = 1,647,735.14
  5. Step 5: Solve for x
    x = 1,647,735.14/1,322.19
  6. Step 6: Final answer
    x = 1,246.22

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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.