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Finding the Fourth Proportional to 1,322.59, 1,983.30 and 397.84

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Solution

The fourth proportional to 1,322.59, 1,983.30 and 397.84 is: 596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.59 : 1,983.30 = 397.84 : x
  2. Step 2: Convert to fraction form
    1,322.59/1,983.30 = 397.84/x
  3. Step 3: Cross multiply
    1,322.59x = 1,983.30 × 397.84
  4. Step 4: Simplify right side
    1,322.59x = 789,036.07
  5. Step 5: Solve for x
    x = 789,036.07/1,322.59
  6. Step 6: Final answer
    x = 596.58

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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.