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Finding the Fourth Proportional to 1,697.75, 2,546.76 and 543.50

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Solution

The fourth proportional to 1,697.75, 2,546.76 and 543.50 is: 815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.75 : 2,546.76 = 543.50 : x
  2. Step 2: Convert to fraction form
    1,697.75/2,546.76 = 543.50/x
  3. Step 3: Cross multiply
    1,697.75x = 2,546.76 × 543.50
  4. Step 4: Simplify right side
    1,697.75x = 1,384,164.06
  5. Step 5: Solve for x
    x = 1,384,164.06/1,697.75
  6. Step 6: Final answer
    x = 815.29

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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.