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Finding the Fourth Proportional to 2,949.79, 4,424.57 and 758.54

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Solution

The fourth proportional to 2,949.79, 4,424.57 and 758.54 is: 1,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.79 : 4,424.57 = 758.54 : x
  2. Step 2: Convert to fraction form
    2,949.79/4,424.57 = 758.54/x
  3. Step 3: Cross multiply
    2,949.79x = 4,424.57 × 758.54
  4. Step 4: Simplify right side
    2,949.79x = 3,356,187.41
  5. Step 5: Solve for x
    x = 3,356,187.41/2,949.79
  6. Step 6: Final answer
    x = 1,137.77

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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.