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Finding the Fourth Proportional to 1,198.21, 1,797.40 and 417.90

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Solution

The fourth proportional to 1,198.21, 1,797.40 and 417.90 is: 626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.21 : 1,797.40 = 417.90 : x
  2. Step 2: Convert to fraction form
    1,198.21/1,797.40 = 417.90/x
  3. Step 3: Cross multiply
    1,198.21x = 1,797.40 × 417.90
  4. Step 4: Simplify right side
    1,198.21x = 751,133.46
  5. Step 5: Solve for x
    x = 751,133.46/1,198.21
  6. Step 6: Final answer
    x = 626.88

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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.