Home / 1,408.08-2,111.38-823.28

Finding the Fourth Proportional to 1,408.08, 2,111.38 and 823.28

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Solution

The fourth proportional to 1,408.08, 2,111.38 and 823.28 is: 1,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.08 : 2,111.38 = 823.28 : x
  2. Step 2: Convert to fraction form
    1,408.08/2,111.38 = 823.28/x
  3. Step 3: Cross multiply
    1,408.08x = 2,111.38 × 823.28
  4. Step 4: Simplify right side
    1,408.08x = 1,738,256.93
  5. Step 5: Solve for x
    x = 1,738,256.93/1,408.08
  6. Step 6: Final answer
    x = 1,234.49

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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.