Home / 1,284.58-1,926.90-418.78

Finding the Fourth Proportional to 1,284.58, 1,926.90 and 418.78

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Solution

The fourth proportional to 1,284.58, 1,926.90 and 418.78 is: 628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.58 : 1,926.90 = 418.78 : x
  2. Step 2: Convert to fraction form
    1,284.58/1,926.90 = 418.78/x
  3. Step 3: Cross multiply
    1,284.58x = 1,926.90 × 418.78
  4. Step 4: Simplify right side
    1,284.58x = 806,947.18
  5. Step 5: Solve for x
    x = 806,947.18/1,284.58
  6. Step 6: Final answer
    x = 628.18

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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.