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Finding the Fourth Proportional to 1,321.88, 1,982.93 and 397.37

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Solution

The fourth proportional to 1,321.88, 1,982.93 and 397.37 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.88 : 1,982.93 = 397.37 : x
  2. Step 2: Convert to fraction form
    1,321.88/1,982.93 = 397.37/x
  3. Step 3: Cross multiply
    1,321.88x = 1,982.93 × 397.37
  4. Step 4: Simplify right side
    1,321.88x = 787,956.89
  5. Step 5: Solve for x
    x = 787,956.89/1,321.88
  6. Step 6: Final answer
    x = 596.09

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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.