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Finding the Fourth Proportional to 1,697.58, 2,546.28 and 722.97

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Solution

The fourth proportional to 1,697.58, 2,546.28 and 722.97 is: 1,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.58 : 2,546.28 = 722.97 : x
  2. Step 2: Convert to fraction form
    1,697.58/2,546.28 = 722.97/x
  3. Step 3: Cross multiply
    1,697.58x = 2,546.28 × 722.97
  4. Step 4: Simplify right side
    1,697.58x = 1,840,884.05
  5. Step 5: Solve for x
    x = 1,840,884.05/1,697.58
  6. Step 6: Final answer
    x = 1,084.42

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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.