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Finding the Fourth Proportional to 1,698.06, 2,546.98 and 543.72

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Solution

The fourth proportional to 1,698.06, 2,546.98 and 543.72 is: 815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.06 : 2,546.98 = 543.72 : x
  2. Step 2: Convert to fraction form
    1,698.06/2,546.98 = 543.72/x
  3. Step 3: Cross multiply
    1,698.06x = 2,546.98 × 543.72
  4. Step 4: Simplify right side
    1,698.06x = 1,384,843.97
  5. Step 5: Solve for x
    x = 1,384,843.97/1,698.06
  6. Step 6: Final answer
    x = 815.54

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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.