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Finding the Fourth Proportional to 1,322.51, 1,984.04 and 398.03

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Solution

The fourth proportional to 1,322.51, 1,984.04 and 398.03 is: 597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.51 : 1,984.04 = 398.03 : x
  2. Step 2: Convert to fraction form
    1,322.51/1,984.04 = 398.03/x
  3. Step 3: Cross multiply
    1,322.51x = 1,984.04 × 398.03
  4. Step 4: Simplify right side
    1,322.51x = 789,702.97
  5. Step 5: Solve for x
    x = 789,702.97/1,322.51
  6. Step 6: Final answer
    x = 597.12

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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.