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Finding the Fourth Proportional to 998.55, 1,497.94 and 413.60

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Solution

The fourth proportional to 998.55, 1,497.94 and 413.60 is: 620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.55 : 1,497.94 = 413.60 : x
  2. Step 2: Convert to fraction form
    998.55/1,497.94 = 413.60/x
  3. Step 3: Cross multiply
    998.55x = 1,497.94 × 413.60
  4. Step 4: Simplify right side
    998.55x = 619,545.92
  5. Step 5: Solve for x
    x = 619,545.92/998.55
  6. Step 6: Final answer
    x = 620.45

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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.