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Finding the Fourth Proportional to 1,198.94, 1,645.70 and 1,065.02

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Solution

The fourth proportional to 1,198.94, 1,645.70 and 1,065.02 is: 1,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.94 : 1,645.70 = 1,065.02 : x
  2. Step 2: Convert to fraction form
    1,198.94/1,645.70 = 1,065.02/x
  3. Step 3: Cross multiply
    1,198.94x = 1,645.70 × 1,065.02
  4. Step 4: Simplify right side
    1,198.94x = 1,752,703.41
  5. Step 5: Solve for x
    x = 1,752,703.41/1,198.94
  6. Step 6: Final answer
    x = 1,461.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.