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Finding the Fourth Proportional to 660.75, 989.37 and 428.97

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Solution

The fourth proportional to 660.75, 989.37 and 428.97 is: 642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.75 : 989.37 = 428.97 : x
  2. Step 2: Convert to fraction form
    660.75/989.37 = 428.97/x
  3. Step 3: Cross multiply
    660.75x = 989.37 × 428.97
  4. Step 4: Simplify right side
    660.75x = 424,410.05
  5. Step 5: Solve for x
    x = 424,410.05/660.75
  6. Step 6: Final answer
    x = 642.32

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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.