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Finding the Fourth Proportional to 1,338.50, 2,007.99 and 413.99

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Solution

The fourth proportional to 1,338.50, 2,007.99 and 413.99 is: 621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.50 : 2,007.99 = 413.99 : x
  2. Step 2: Convert to fraction form
    1,338.50/2,007.99 = 413.99/x
  3. Step 3: Cross multiply
    1,338.50x = 2,007.99 × 413.99
  4. Step 4: Simplify right side
    1,338.50x = 831,283.72
  5. Step 5: Solve for x
    x = 831,283.72/1,338.50
  6. Step 6: Final answer
    x = 621.06

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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.