Home / 1,380.57-2,071.19-406.65

Finding the Fourth Proportional to 1,380.57, 2,071.19 and 406.65

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Solution

The fourth proportional to 1,380.57, 2,071.19 and 406.65 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.57 : 2,071.19 = 406.65 : x
  2. Step 2: Convert to fraction form
    1,380.57/2,071.19 = 406.65/x
  3. Step 3: Cross multiply
    1,380.57x = 2,071.19 × 406.65
  4. Step 4: Simplify right side
    1,380.57x = 842,247.38
  5. Step 5: Solve for x
    x = 842,247.38/1,380.57
  6. Step 6: Final answer
    x = 610.07

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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.