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Finding the Fourth Proportional to 1,198.98, 1,797.37 and 429.30

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Solution

The fourth proportional to 1,198.98, 1,797.37 and 429.30 is: 643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.98 : 1,797.37 = 429.30 : x
  2. Step 2: Convert to fraction form
    1,198.98/1,797.37 = 429.30/x
  3. Step 3: Cross multiply
    1,198.98x = 1,797.37 × 429.30
  4. Step 4: Simplify right side
    1,198.98x = 771,610.94
  5. Step 5: Solve for x
    x = 771,610.94/1,198.98
  6. Step 6: Final answer
    x = 643.56

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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.