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Finding the Fourth Proportional to 1,198, 1,653.21 and 666.88

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Solution

The fourth proportional to 1,198, 1,653.21 and 666.88 is: 920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198 : 1,653.21 = 666.88 : x
  2. Step 2: Convert to fraction form
    1,198/1,653.21 = 666.88/x
  3. Step 3: Cross multiply
    1,198x = 1,653.21 × 666.88
  4. Step 4: Simplify right side
    1,198x = 1,102,492.68
  5. Step 5: Solve for x
    x = 1,102,492.68/1,198
  6. Step 6: Final answer
    x = 920.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.