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Finding the Fourth Proportional to 990.92, 1,486.56 and 413.80

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Solution

The fourth proportional to 990.92, 1,486.56 and 413.80 is: 620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.92 : 1,486.56 = 413.80 : x
  2. Step 2: Convert to fraction form
    990.92/1,486.56 = 413.80/x
  3. Step 3: Cross multiply
    990.92x = 1,486.56 × 413.80
  4. Step 4: Simplify right side
    990.92x = 615,138.53
  5. Step 5: Solve for x
    x = 615,138.53/990.92
  6. Step 6: Final answer
    x = 620.78

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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.