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Finding the Fourth Proportional to 1,389.43, 2,084.49 and 415.54

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Solution

The fourth proportional to 1,389.43, 2,084.49 and 415.54 is: 623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.43 : 2,084.49 = 415.54 : x
  2. Step 2: Convert to fraction form
    1,389.43/2,084.49 = 415.54/x
  3. Step 3: Cross multiply
    1,389.43x = 2,084.49 × 415.54
  4. Step 4: Simplify right side
    1,389.43x = 866,188.97
  5. Step 5: Solve for x
    x = 866,188.97/1,389.43
  6. Step 6: Final answer
    x = 623.41

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Why These Related Problems?

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