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Finding the Fourth Proportional to 1,322.79, 1,984.64 and 398.33

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Solution

The fourth proportional to 1,322.79, 1,984.64 and 398.33 is: 597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.79 : 1,984.64 = 398.33 : x
  2. Step 2: Convert to fraction form
    1,322.79/1,984.64 = 398.33/x
  3. Step 3: Cross multiply
    1,322.79x = 1,984.64 × 398.33
  4. Step 4: Simplify right side
    1,322.79x = 790,532.72
  5. Step 5: Solve for x
    x = 790,532.72/1,322.79
  6. Step 6: Final answer
    x = 597.63

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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.