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Finding the Fourth Proportional to 1,389.96, 2,084.94 and 416.04

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Solution

The fourth proportional to 1,389.96, 2,084.94 and 416.04 is: 624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.96 : 2,084.94 = 416.04 : x
  2. Step 2: Convert to fraction form
    1,389.96/2,084.94 = 416.04/x
  3. Step 3: Cross multiply
    1,389.96x = 2,084.94 × 416.04
  4. Step 4: Simplify right side
    1,389.96x = 867,418.44
  5. Step 5: Solve for x
    x = 867,418.44/1,389.96
  6. Step 6: Final answer
    x = 624.06

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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.