Home / 1,509.07-2,263.36-413.18

Finding the Fourth Proportional to 1,509.07, 2,263.36 and 413.18

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Solution

The fourth proportional to 1,509.07, 2,263.36 and 413.18 is: 619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.07 : 2,263.36 = 413.18 : x
  2. Step 2: Convert to fraction form
    1,509.07/2,263.36 = 413.18/x
  3. Step 3: Cross multiply
    1,509.07x = 2,263.36 × 413.18
  4. Step 4: Simplify right side
    1,509.07x = 935,171.57
  5. Step 5: Solve for x
    x = 935,171.57/1,509.07
  6. Step 6: Final answer
    x = 619.70

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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.