Home / 1,509.14-2,263.43-413.24

Finding the Fourth Proportional to 1,509.14, 2,263.43 and 413.24

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Solution

The fourth proportional to 1,509.14, 2,263.43 and 413.24 is: 619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.14 : 2,263.43 = 413.24 : x
  2. Step 2: Convert to fraction form
    1,509.14/2,263.43 = 413.24/x
  3. Step 3: Cross multiply
    1,509.14x = 2,263.43 × 413.24
  4. Step 4: Simplify right side
    1,509.14x = 935,326.43
  5. Step 5: Solve for x
    x = 935,326.43/1,509.14
  6. Step 6: Final answer
    x = 619.78

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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.