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Finding the Fourth Proportional to 986.94, 1,480.41 and 438.97

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Solution

The fourth proportional to 986.94, 1,480.41 and 438.97 is: 658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.94 : 1,480.41 = 438.97 : x
  2. Step 2: Convert to fraction form
    986.94/1,480.41 = 438.97/x
  3. Step 3: Cross multiply
    986.94x = 1,480.41 × 438.97
  4. Step 4: Simplify right side
    986.94x = 649,855.58
  5. Step 5: Solve for x
    x = 649,855.58/986.94
  6. Step 6: Final answer
    x = 658.46

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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.