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Finding the Fourth Proportional to 605.20, 906.84 and 388.60

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Solution

The fourth proportional to 605.20, 906.84 and 388.60 is: 582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.20 : 906.84 = 388.60 : x
  2. Step 2: Convert to fraction form
    605.20/906.84 = 388.60/x
  3. Step 3: Cross multiply
    605.20x = 906.84 × 388.60
  4. Step 4: Simplify right side
    605.20x = 352,398.02
  5. Step 5: Solve for x
    x = 352,398.02/605.20
  6. Step 6: Final answer
    x = 582.28

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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.