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Finding the Fourth Proportional to 1,697.38, 2,546.50 and 543.12

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Solution

The fourth proportional to 1,697.38, 2,546.50 and 543.12 is: 814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.38 : 2,546.50 = 543.12 : x
  2. Step 2: Convert to fraction form
    1,697.38/2,546.50 = 543.12/x
  3. Step 3: Cross multiply
    1,697.38x = 2,546.50 × 543.12
  4. Step 4: Simplify right side
    1,697.38x = 1,383,055.08
  5. Step 5: Solve for x
    x = 1,383,055.08/1,697.38
  6. Step 6: Final answer
    x = 814.82

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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.