Home / 1,408.12-2,112.41-434.09

Finding the Fourth Proportional to 1,408.12, 2,112.41 and 434.09

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Solution

The fourth proportional to 1,408.12, 2,112.41 and 434.09 is: 651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.12 : 2,112.41 = 434.09 : x
  2. Step 2: Convert to fraction form
    1,408.12/2,112.41 = 434.09/x
  3. Step 3: Cross multiply
    1,408.12x = 2,112.41 × 434.09
  4. Step 4: Simplify right side
    1,408.12x = 916,982.42
  5. Step 5: Solve for x
    x = 916,982.42/1,408.12
  6. Step 6: Final answer
    x = 651.21

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Double scale
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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.