Home / 1,408.31-2,112.48-434.41

Finding the Fourth Proportional to 1,408.31, 2,112.48 and 434.41

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Solution

The fourth proportional to 1,408.31, 2,112.48 and 434.41 is: 651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.31 : 2,112.48 = 434.41 : x
  2. Step 2: Convert to fraction form
    1,408.31/2,112.48 = 434.41/x
  3. Step 3: Cross multiply
    1,408.31x = 2,112.48 × 434.41
  4. Step 4: Simplify right side
    1,408.31x = 917,682.44
  5. Step 5: Solve for x
    x = 917,682.44/1,408.31
  6. Step 6: Final answer
    x = 651.62

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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.