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Finding the Fourth Proportional to 1,198.35, 1,653.48 and 918.90

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Solution

The fourth proportional to 1,198.35, 1,653.48 and 918.90 is: 1,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.35 : 1,653.48 = 918.90 : x
  2. Step 2: Convert to fraction form
    1,198.35/1,653.48 = 918.90/x
  3. Step 3: Cross multiply
    1,198.35x = 1,653.48 × 918.90
  4. Step 4: Simplify right side
    1,198.35x = 1,519,382.77
  5. Step 5: Solve for x
    x = 1,519,382.77/1,198.35
  6. Step 6: Final answer
    x = 1,267.90

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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.