Home / 1,571.08-2,356.62-416.83

Finding the Fourth Proportional to 1,571.08, 2,356.62 and 416.83

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Solution

The fourth proportional to 1,571.08, 2,356.62 and 416.83 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.08 : 2,356.62 = 416.83 : x
  2. Step 2: Convert to fraction form
    1,571.08/2,356.62 = 416.83/x
  3. Step 3: Cross multiply
    1,571.08x = 2,356.62 × 416.83
  4. Step 4: Simplify right side
    1,571.08x = 982,309.91
  5. Step 5: Solve for x
    x = 982,309.91/1,571.08
  6. Step 6: Final answer
    x = 625.25

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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.