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Finding the Fourth Proportional to 998.73, 1,498.03 and 413.37

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Solution

The fourth proportional to 998.73, 1,498.03 and 413.37 is: 620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.73 : 1,498.03 = 413.37 : x
  2. Step 2: Convert to fraction form
    998.73/1,498.03 = 413.37/x
  3. Step 3: Cross multiply
    998.73x = 1,498.03 × 413.37
  4. Step 4: Simplify right side
    998.73x = 619,239.63
  5. Step 5: Solve for x
    x = 619,239.63/998.73
  6. Step 6: Final answer
    x = 620.03

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1.5x scale

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.