Home / 1,408.19-2,112.40-420.93

Finding the Fourth Proportional to 1,408.19, 2,112.40 and 420.93

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Solution

The fourth proportional to 1,408.19, 2,112.40 and 420.93 is: 631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.19 : 2,112.40 = 420.93 : x
  2. Step 2: Convert to fraction form
    1,408.19/2,112.40 = 420.93/x
  3. Step 3: Cross multiply
    1,408.19x = 2,112.40 × 420.93
  4. Step 4: Simplify right side
    1,408.19x = 889,173.73
  5. Step 5: Solve for x
    x = 889,173.73/1,408.19
  6. Step 6: Final answer
    x = 631.43

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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.