Home / 1,509.08-2,263.44-413.54

Finding the Fourth Proportional to 1,509.08, 2,263.44 and 413.54

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Solution

The fourth proportional to 1,509.08, 2,263.44 and 413.54 is: 620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.08 : 2,263.44 = 413.54 : x
  2. Step 2: Convert to fraction form
    1,509.08/2,263.44 = 413.54/x
  3. Step 3: Cross multiply
    1,509.08x = 2,263.44 × 413.54
  4. Step 4: Simplify right side
    1,509.08x = 936,022.98
  5. Step 5: Solve for x
    x = 936,022.98/1,509.08
  6. Step 6: Final answer
    x = 620.26

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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.