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Finding the Fourth Proportional to 1,322.49, 1,982.17 and 737.22

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Solution

The fourth proportional to 1,322.49, 1,982.17 and 737.22 is: 1,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.49 : 1,982.17 = 737.22 : x
  2. Step 2: Convert to fraction form
    1,322.49/1,982.17 = 737.22/x
  3. Step 3: Cross multiply
    1,322.49x = 1,982.17 × 737.22
  4. Step 4: Simplify right side
    1,322.49x = 1,461,295.37
  5. Step 5: Solve for x
    x = 1,461,295.37/1,322.49
  6. Step 6: Final answer
    x = 1,104.96

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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.