Home / 1,509.22-2,263.89-413.43

Finding the Fourth Proportional to 1,509.22, 2,263.89 and 413.43

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Solution

The fourth proportional to 1,509.22, 2,263.89 and 413.43 is: 620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.22 : 2,263.89 = 413.43 : x
  2. Step 2: Convert to fraction form
    1,509.22/2,263.89 = 413.43/x
  3. Step 3: Cross multiply
    1,509.22x = 2,263.89 × 413.43
  4. Step 4: Simplify right side
    1,509.22x = 935,960.04
  5. Step 5: Solve for x
    x = 935,960.04/1,509.22
  6. Step 6: Final answer
    x = 620.16

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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.