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Finding the Fourth Proportional to 1,322.44, 1,983.07 and 397.82

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Solution

The fourth proportional to 1,322.44, 1,983.07 and 397.82 is: 596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.44 : 1,983.07 = 397.82 : x
  2. Step 2: Convert to fraction form
    1,322.44/1,983.07 = 397.82/x
  3. Step 3: Cross multiply
    1,322.44x = 1,983.07 × 397.82
  4. Step 4: Simplify right side
    1,322.44x = 788,904.91
  5. Step 5: Solve for x
    x = 788,904.91/1,322.44
  6. Step 6: Final answer
    x = 596.55

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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.