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Finding the Fourth Proportional to 998.69, 1,498.22 and 478.33

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Solution

The fourth proportional to 998.69, 1,498.22 and 478.33 is: 717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.69 : 1,498.22 = 478.33 : x
  2. Step 2: Convert to fraction form
    998.69/1,498.22 = 478.33/x
  3. Step 3: Cross multiply
    998.69x = 1,498.22 × 478.33
  4. Step 4: Simplify right side
    998.69x = 716,647.66
  5. Step 5: Solve for x
    x = 716,647.66/998.69
  6. Step 6: Final answer
    x = 717.59

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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.