Home / 1,380.77-2,071.08-406.83

Finding the Fourth Proportional to 1,380.77, 2,071.08 and 406.83

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Solution

The fourth proportional to 1,380.77, 2,071.08 and 406.83 is: 610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.77 : 2,071.08 = 406.83 : x
  2. Step 2: Convert to fraction form
    1,380.77/2,071.08 = 406.83/x
  3. Step 3: Cross multiply
    1,380.77x = 2,071.08 × 406.83
  4. Step 4: Simplify right side
    1,380.77x = 842,577.48
  5. Step 5: Solve for x
    x = 842,577.48/1,380.77
  6. Step 6: Final answer
    x = 610.23

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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.