Home / 1,284.16-1,926.32-418.56

Finding the Fourth Proportional to 1,284.16, 1,926.32 and 418.56

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Solution

The fourth proportional to 1,284.16, 1,926.32 and 418.56 is: 627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.16 : 1,926.32 = 418.56 : x
  2. Step 2: Convert to fraction form
    1,284.16/1,926.32 = 418.56/x
  3. Step 3: Cross multiply
    1,284.16x = 1,926.32 × 418.56
  4. Step 4: Simplify right side
    1,284.16x = 806,280.50
  5. Step 5: Solve for x
    x = 806,280.50/1,284.16
  6. Step 6: Final answer
    x = 627.87

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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.