Home / 1,406.12-2,109.34-481.88

Finding the Fourth Proportional to 1,406.12, 2,109.34 and 481.88

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Solution

The fourth proportional to 1,406.12, 2,109.34 and 481.88 is: 722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.12 : 2,109.34 = 481.88 : x
  2. Step 2: Convert to fraction form
    1,406.12/2,109.34 = 481.88/x
  3. Step 3: Cross multiply
    1,406.12x = 2,109.34 × 481.88
  4. Step 4: Simplify right side
    1,406.12x = 1,016,454.63
  5. Step 5: Solve for x
    x = 1,016,454.63/1,406.12
  6. Step 6: Final answer
    x = 722.88

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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.