Home / 1,408.19-2,112.29-434.30

Finding the Fourth Proportional to 1,408.19, 2,112.29 and 434.30

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Solution

The fourth proportional to 1,408.19, 2,112.29 and 434.30 is: 651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.19 : 2,112.29 = 434.30 : x
  2. Step 2: Convert to fraction form
    1,408.19/2,112.29 = 434.30/x
  3. Step 3: Cross multiply
    1,408.19x = 2,112.29 × 434.30
  4. Step 4: Simplify right side
    1,408.19x = 917,354.81
  5. Step 5: Solve for x
    x = 917,354.81/1,408.19
  6. Step 6: Final answer
    x = 651.44

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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.