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Finding the Fourth Proportional to 1,098.58, 1,645.53 and 1,067.98

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Solution

The fourth proportional to 1,098.58, 1,645.53 and 1,067.98 is: 1,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.58 : 1,645.53 = 1,067.98 : x
  2. Step 2: Convert to fraction form
    1,098.58/1,645.53 = 1,067.98/x
  3. Step 3: Cross multiply
    1,098.58x = 1,645.53 × 1,067.98
  4. Step 4: Simplify right side
    1,098.58x = 1,757,393.13
  5. Step 5: Solve for x
    x = 1,757,393.13/1,098.58
  6. Step 6: Final answer
    x = 1,599.70

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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.