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Finding the Fourth Proportional to 569.20, 851.76 and 446.62

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Solution

The fourth proportional to 569.20, 851.76 and 446.62 is: 668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.20 : 851.76 = 446.62 : x
  2. Step 2: Convert to fraction form
    569.20/851.76 = 446.62/x
  3. Step 3: Cross multiply
    569.20x = 851.76 × 446.62
  4. Step 4: Simplify right side
    569.20x = 380,413.05
  5. Step 5: Solve for x
    x = 380,413.05/569.20
  6. Step 6: Final answer
    x = 668.33

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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.