Home / 1,208.20-1,811.90-438.52

Finding the Fourth Proportional to 1,208.20, 1,811.90 and 438.52

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Solution

The fourth proportional to 1,208.20, 1,811.90 and 438.52 is: 657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.20 : 1,811.90 = 438.52 : x
  2. Step 2: Convert to fraction form
    1,208.20/1,811.90 = 438.52/x
  3. Step 3: Cross multiply
    1,208.20x = 1,811.90 × 438.52
  4. Step 4: Simplify right side
    1,208.20x = 794,554.39
  5. Step 5: Solve for x
    x = 794,554.39/1,208.20
  6. Step 6: Final answer
    x = 657.63

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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.