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Finding the Fourth Proportional to 572.20, 789.22 and 365.16

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Solution

The fourth proportional to 572.20, 789.22 and 365.16 is: 503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.20 : 789.22 = 365.16 : x
  2. Step 2: Convert to fraction form
    572.20/789.22 = 365.16/x
  3. Step 3: Cross multiply
    572.20x = 789.22 × 365.16
  4. Step 4: Simplify right side
    572.20x = 288,191.58
  5. Step 5: Solve for x
    x = 288,191.58/572.20
  6. Step 6: Final answer
    x = 503.66

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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.