Home / 1,408.22-2,112.33-434.31

Finding the Fourth Proportional to 1,408.22, 2,112.33 and 434.31

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Solution

The fourth proportional to 1,408.22, 2,112.33 and 434.31 is: 651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.22 : 2,112.33 = 434.31 : x
  2. Step 2: Convert to fraction form
    1,408.22/2,112.33 = 434.31/x
  3. Step 3: Cross multiply
    1,408.22x = 2,112.33 × 434.31
  4. Step 4: Simplify right side
    1,408.22x = 917,406.04
  5. Step 5: Solve for x
    x = 917,406.04/1,408.22
  6. Step 6: Final answer
    x = 651.47

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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.