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Finding the Fourth Proportional to 441.64, 604.55 and 427.60

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Solution

The fourth proportional to 441.64, 604.55 and 427.60 is: 585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.64 : 604.55 = 427.60 : x
  2. Step 2: Convert to fraction form
    441.64/604.55 = 427.60/x
  3. Step 3: Cross multiply
    441.64x = 604.55 × 427.60
  4. Step 4: Simplify right side
    441.64x = 258,505.58
  5. Step 5: Solve for x
    x = 258,505.58/441.64
  6. Step 6: Final answer
    x = 585.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.