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Finding the Fourth Proportional to 684.95, 1,027.43 and 198

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Solution

The fourth proportional to 684.95, 1,027.43 and 198 is: 297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.95 : 1,027.43 = 198 : x
  2. Step 2: Convert to fraction form
    684.95/1,027.43 = 198/x
  3. Step 3: Cross multiply
    684.95x = 1,027.43 × 198
  4. Step 4: Simplify right side
    684.95x = 203,431.14
  5. Step 5: Solve for x
    x = 203,431.14/684.95
  6. Step 6: Final answer
    x = 297.00

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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.