Home / 1,408.13-2,112.23-790.30

Finding the Fourth Proportional to 1,408.13, 2,112.23 and 790.30

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Solution

The fourth proportional to 1,408.13, 2,112.23 and 790.30 is: 1,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.13 : 2,112.23 = 790.30 : x
  2. Step 2: Convert to fraction form
    1,408.13/2,112.23 = 790.30/x
  3. Step 3: Cross multiply
    1,408.13x = 2,112.23 × 790.30
  4. Step 4: Simplify right side
    1,408.13x = 1,669,295.37
  5. Step 5: Solve for x
    x = 1,669,295.37/1,408.13
  6. Step 6: Final answer
    x = 1,185.47

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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.