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Finding the Fourth Proportional to 572.20, 789.96 and 397.24

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Solution

The fourth proportional to 572.20, 789.96 and 397.24 is: 548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.20 : 789.96 = 397.24 : x
  2. Step 2: Convert to fraction form
    572.20/789.96 = 397.24/x
  3. Step 3: Cross multiply
    572.20x = 789.96 × 397.24
  4. Step 4: Simplify right side
    572.20x = 313,803.71
  5. Step 5: Solve for x
    x = 313,803.71/572.20
  6. Step 6: Final answer
    x = 548.42

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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.