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Finding the Fourth Proportional to 998.98, 1,498.48 and 451.06

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Solution

The fourth proportional to 998.98, 1,498.48 and 451.06 is: 676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.98 : 1,498.48 = 451.06 : x
  2. Step 2: Convert to fraction form
    998.98/1,498.48 = 451.06/x
  3. Step 3: Cross multiply
    998.98x = 1,498.48 × 451.06
  4. Step 4: Simplify right side
    998.98x = 675,904.39
  5. Step 5: Solve for x
    x = 675,904.39/998.98
  6. Step 6: Final answer
    x = 676.59

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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.