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Finding the Fourth Proportional to 1,408.78, 2,113.76 and 758.76

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Solution

The fourth proportional to 1,408.78, 2,113.76 and 758.76 is: 1,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.78 : 2,113.76 = 758.76 : x
  2. Step 2: Convert to fraction form
    1,408.78/2,113.76 = 758.76/x
  3. Step 3: Cross multiply
    1,408.78x = 2,113.76 × 758.76
  4. Step 4: Simplify right side
    1,408.78x = 1,603,836.54
  5. Step 5: Solve for x
    x = 1,603,836.54/1,408.78
  6. Step 6: Final answer
    x = 1,138.46

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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.