Home / 1,408.40-2,109.50-748.28

Finding the Fourth Proportional to 1,408.40, 2,109.50 and 748.28

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Solution

The fourth proportional to 1,408.40, 2,109.50 and 748.28 is: 1,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.40 : 2,109.50 = 748.28 : x
  2. Step 2: Convert to fraction form
    1,408.40/2,109.50 = 748.28/x
  3. Step 3: Cross multiply
    1,408.40x = 2,109.50 × 748.28
  4. Step 4: Simplify right side
    1,408.40x = 1,578,496.66
  5. Step 5: Solve for x
    x = 1,578,496.66/1,408.40
  6. Step 6: Final answer
    x = 1,120.77

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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.