Home / 1,583.07-2,374.36-413.09

Finding the Fourth Proportional to 1,583.07, 2,374.36 and 413.09

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Solution

The fourth proportional to 1,583.07, 2,374.36 and 413.09 is: 619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.07 : 2,374.36 = 413.09 : x
  2. Step 2: Convert to fraction form
    1,583.07/2,374.36 = 413.09/x
  3. Step 3: Cross multiply
    1,583.07x = 2,374.36 × 413.09
  4. Step 4: Simplify right side
    1,583.07x = 980,824.37
  5. Step 5: Solve for x
    x = 980,824.37/1,583.07
  6. Step 6: Final answer
    x = 619.57

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1.5x scale

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.