Home / 1,406.12-2,108.88-418.80

Finding the Fourth Proportional to 1,406.12, 2,108.88 and 418.80

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Solution

The fourth proportional to 1,406.12, 2,108.88 and 418.80 is: 628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.12 : 2,108.88 = 418.80 : x
  2. Step 2: Convert to fraction form
    1,406.12/2,108.88 = 418.80/x
  3. Step 3: Cross multiply
    1,406.12x = 2,108.88 × 418.80
  4. Step 4: Simplify right side
    1,406.12x = 883,198.94
  5. Step 5: Solve for x
    x = 883,198.94/1,406.12
  6. Step 6: Final answer
    x = 628.11

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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.