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Finding the Fourth Proportional to 408.86, 609.70 and 364.60

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Solution

The fourth proportional to 408.86, 609.70 and 364.60 is: 543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.86 : 609.70 = 364.60 : x
  2. Step 2: Convert to fraction form
    408.86/609.70 = 364.60/x
  3. Step 3: Cross multiply
    408.86x = 609.70 × 364.60
  4. Step 4: Simplify right side
    408.86x = 222,296.62
  5. Step 5: Solve for x
    x = 222,296.62/408.86
  6. Step 6: Final answer
    x = 543.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.