Home / 1,284.33-1,926.46-418.64

Finding the Fourth Proportional to 1,284.33, 1,926.46 and 418.64

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Solution

The fourth proportional to 1,284.33, 1,926.46 and 418.64 is: 627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.33 : 1,926.46 = 418.64 : x
  2. Step 2: Convert to fraction form
    1,284.33/1,926.46 = 418.64/x
  3. Step 3: Cross multiply
    1,284.33x = 1,926.46 × 418.64
  4. Step 4: Simplify right side
    1,284.33x = 806,499.18
  5. Step 5: Solve for x
    x = 806,499.18/1,284.33
  6. Step 6: Final answer
    x = 627.95

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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.