Home / 1,408.13-2,112.55-667.99

Finding the Fourth Proportional to 1,408.13, 2,112.55 and 667.99

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Solution

The fourth proportional to 1,408.13, 2,112.55 and 667.99 is: 1,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.13 : 2,112.55 = 667.99 : x
  2. Step 2: Convert to fraction form
    1,408.13/2,112.55 = 667.99/x
  3. Step 3: Cross multiply
    1,408.13x = 2,112.55 × 667.99
  4. Step 4: Simplify right side
    1,408.13x = 1,411,163.25
  5. Step 5: Solve for x
    x = 1,411,163.25/1,408.13
  6. Step 6: Final answer
    x = 1,002.15

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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.