Home / 1,380.48-2,071.14-406.59

Finding the Fourth Proportional to 1,380.48, 2,071.14 and 406.59

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Solution

The fourth proportional to 1,380.48, 2,071.14 and 406.59 is: 610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.48 : 2,071.14 = 406.59 : x
  2. Step 2: Convert to fraction form
    1,380.48/2,071.14 = 406.59/x
  3. Step 3: Cross multiply
    1,380.48x = 2,071.14 × 406.59
  4. Step 4: Simplify right side
    1,380.48x = 842,104.81
  5. Step 5: Solve for x
    x = 842,104.81/1,380.48
  6. Step 6: Final answer
    x = 610.01

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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.