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Finding the Fourth Proportional to 572.31, 789.80 and 320.22

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Solution

The fourth proportional to 572.31, 789.80 and 320.22 is: 441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.31 : 789.80 = 320.22 : x
  2. Step 2: Convert to fraction form
    572.31/789.80 = 320.22/x
  3. Step 3: Cross multiply
    572.31x = 789.80 × 320.22
  4. Step 4: Simplify right side
    572.31x = 252,908.15
  5. Step 5: Solve for x
    x = 252,908.15/572.31
  6. Step 6: Final answer
    x = 441.91

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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.