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Finding the Fourth Proportional to 1,389.75, 2,084.92 and 415.85

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Solution

The fourth proportional to 1,389.75, 2,084.92 and 415.85 is: 623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.75 : 2,084.92 = 415.85 : x
  2. Step 2: Convert to fraction form
    1,389.75/2,084.92 = 415.85/x
  3. Step 3: Cross multiply
    1,389.75x = 2,084.92 × 415.85
  4. Step 4: Simplify right side
    1,389.75x = 867,013.98
  5. Step 5: Solve for x
    x = 867,013.98/1,389.75
  6. Step 6: Final answer
    x = 623.86

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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.