Home / 1,408.20-2,111.22-714.30

Finding the Fourth Proportional to 1,408.20, 2,111.22 and 714.30

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Solution

The fourth proportional to 1,408.20, 2,111.22 and 714.30 is: 1,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.20 : 2,111.22 = 714.30 : x
  2. Step 2: Convert to fraction form
    1,408.20/2,111.22 = 714.30/x
  3. Step 3: Cross multiply
    1,408.20x = 2,111.22 × 714.30
  4. Step 4: Simplify right side
    1,408.20x = 1,508,044.45
  5. Step 5: Solve for x
    x = 1,508,044.45/1,408.20
  6. Step 6: Final answer
    x = 1,070.90

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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.