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Finding the Fourth Proportional to 553.25, 828.92 and 398.43

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Solution

The fourth proportional to 553.25, 828.92 and 398.43 is: 596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.25 : 828.92 = 398.43 : x
  2. Step 2: Convert to fraction form
    553.25/828.92 = 398.43/x
  3. Step 3: Cross multiply
    553.25x = 828.92 × 398.43
  4. Step 4: Simplify right side
    553.25x = 330,264.60
  5. Step 5: Solve for x
    x = 330,264.60/553.25
  6. Step 6: Final answer
    x = 596.96

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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.