Home / 1,407.08-2,107.44-677.20

Finding the Fourth Proportional to 1,407.08, 2,107.44 and 677.20

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Solution

The fourth proportional to 1,407.08, 2,107.44 and 677.20 is: 1,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.08 : 2,107.44 = 677.20 : x
  2. Step 2: Convert to fraction form
    1,407.08/2,107.44 = 677.20/x
  3. Step 3: Cross multiply
    1,407.08x = 2,107.44 × 677.20
  4. Step 4: Simplify right side
    1,407.08x = 1,427,158.37
  5. Step 5: Solve for x
    x = 1,427,158.37/1,407.08
  6. Step 6: Final answer
    x = 1,014.27

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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.