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Finding the Fourth Proportional to 1,322.33, 1,983.59 and 444.83

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Solution

The fourth proportional to 1,322.33, 1,983.59 and 444.83 is: 667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.33 : 1,983.59 = 444.83 : x
  2. Step 2: Convert to fraction form
    1,322.33/1,983.59 = 444.83/x
  3. Step 3: Cross multiply
    1,322.33x = 1,983.59 × 444.83
  4. Step 4: Simplify right side
    1,322.33x = 882,361.02
  5. Step 5: Solve for x
    x = 882,361.02/1,322.33
  6. Step 6: Final answer
    x = 667.28

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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.