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Finding the Fourth Proportional to 573.23, 789.91 and 398.27

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Solution

The fourth proportional to 573.23, 789.91 and 398.27 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.23 : 789.91 = 398.27 : x
  2. Step 2: Convert to fraction form
    573.23/789.91 = 398.27/x
  3. Step 3: Cross multiply
    573.23x = 789.91 × 398.27
  4. Step 4: Simplify right side
    573.23x = 314,598.43
  5. Step 5: Solve for x
    x = 314,598.43/573.23
  6. Step 6: Final answer
    x = 548.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.