Home / 1,619.08-2,427.78-578.68

Finding the Fourth Proportional to 1,619.08, 2,427.78 and 578.68

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Solution

The fourth proportional to 1,619.08, 2,427.78 and 578.68 is: 867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.08 : 2,427.78 = 578.68 : x
  2. Step 2: Convert to fraction form
    1,619.08/2,427.78 = 578.68/x
  3. Step 3: Cross multiply
    1,619.08x = 2,427.78 × 578.68
  4. Step 4: Simplify right side
    1,619.08x = 1,404,907.73
  5. Step 5: Solve for x
    x = 1,404,907.73/1,619.08
  6. Step 6: Final answer
    x = 867.72

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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.