Home / 1,509.09-2,263.64-413.48

Finding the Fourth Proportional to 1,509.09, 2,263.64 and 413.48

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Solution

The fourth proportional to 1,509.09, 2,263.64 and 413.48 is: 620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.09 : 2,263.64 = 413.48 : x
  2. Step 2: Convert to fraction form
    1,509.09/2,263.64 = 413.48/x
  3. Step 3: Cross multiply
    1,509.09x = 2,263.64 × 413.48
  4. Step 4: Simplify right side
    1,509.09x = 935,956.48
  5. Step 5: Solve for x
    x = 935,956.48/1,509.09
  6. Step 6: Final answer
    x = 620.21

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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.