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Finding the Fourth Proportional to 442.77, 662.21 and 394.37

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Solution

The fourth proportional to 442.77, 662.21 and 394.37 is: 589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.77 : 662.21 = 394.37 : x
  2. Step 2: Convert to fraction form
    442.77/662.21 = 394.37/x
  3. Step 3: Cross multiply
    442.77x = 662.21 × 394.37
  4. Step 4: Simplify right side
    442.77x = 261,155.76
  5. Step 5: Solve for x
    x = 261,155.76/442.77
  6. Step 6: Final answer
    x = 589.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.