Home / 1,408.20-2,112.24-434.40

Finding the Fourth Proportional to 1,408.20, 2,112.24 and 434.40

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Solution

The fourth proportional to 1,408.20, 2,112.24 and 434.40 is: 651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.20 : 2,112.24 = 434.40 : x
  2. Step 2: Convert to fraction form
    1,408.20/2,112.24 = 434.40/x
  3. Step 3: Cross multiply
    1,408.20x = 2,112.24 × 434.40
  4. Step 4: Simplify right side
    1,408.20x = 917,557.06
  5. Step 5: Solve for x
    x = 917,557.06/1,408.20
  6. Step 6: Final answer
    x = 651.58

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1.5x scale

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.