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Finding the Fourth Proportional to 1,322.90, 1,984.35 and 398.46

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Solution

The fourth proportional to 1,322.90, 1,984.35 and 398.46 is: 597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.90 : 1,984.35 = 398.46 : x
  2. Step 2: Convert to fraction form
    1,322.90/1,984.35 = 398.46/x
  3. Step 3: Cross multiply
    1,322.90x = 1,984.35 × 398.46
  4. Step 4: Simplify right side
    1,322.90x = 790,684.10
  5. Step 5: Solve for x
    x = 790,684.10/1,322.90
  6. Step 6: Final answer
    x = 597.69

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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.