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Finding the Fourth Proportional to 1,322.90, 1,984.39 and 398.49

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Solution

The fourth proportional to 1,322.90, 1,984.39 and 398.49 is: 597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.90 : 1,984.39 = 398.49 : x
  2. Step 2: Convert to fraction form
    1,322.90/1,984.39 = 398.49/x
  3. Step 3: Cross multiply
    1,322.90x = 1,984.39 × 398.49
  4. Step 4: Simplify right side
    1,322.90x = 790,758.57
  5. Step 5: Solve for x
    x = 790,758.57/1,322.90
  6. Step 6: Final answer
    x = 597.75

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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.