Home / 1,408.27-2,111.87-471.02

Finding the Fourth Proportional to 1,408.27, 2,111.87 and 471.02

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Solution

The fourth proportional to 1,408.27, 2,111.87 and 471.02 is: 706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.27 : 2,111.87 = 471.02 : x
  2. Step 2: Convert to fraction form
    1,408.27/2,111.87 = 471.02/x
  3. Step 3: Cross multiply
    1,408.27x = 2,111.87 × 471.02
  4. Step 4: Simplify right side
    1,408.27x = 994,720.09
  5. Step 5: Solve for x
    x = 994,720.09/1,408.27
  6. Step 6: Final answer
    x = 706.34

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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.