Home / 1,208.12-1,811.28-540.74

Finding the Fourth Proportional to 1,208.12, 1,811.28 and 540.74

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Solution

The fourth proportional to 1,208.12, 1,811.28 and 540.74 is: 810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.12 : 1,811.28 = 540.74 : x
  2. Step 2: Convert to fraction form
    1,208.12/1,811.28 = 540.74/x
  3. Step 3: Cross multiply
    1,208.12x = 1,811.28 × 540.74
  4. Step 4: Simplify right side
    1,208.12x = 979,431.55
  5. Step 5: Solve for x
    x = 979,431.55/1,208.12
  6. Step 6: Final answer
    x = 810.71

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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.