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Finding the Fourth Proportional to 2,198.01, 3,296.50 and 637.60

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Solution

The fourth proportional to 2,198.01, 3,296.50 and 637.60 is: 956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.01 : 3,296.50 = 637.60 : x
  2. Step 2: Convert to fraction form
    2,198.01/3,296.50 = 637.60/x
  3. Step 3: Cross multiply
    2,198.01x = 3,296.50 × 637.60
  4. Step 4: Simplify right side
    2,198.01x = 2,101,848.40
  5. Step 5: Solve for x
    x = 2,101,848.40/2,198.01
  6. Step 6: Final answer
    x = 956.25

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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.