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Finding the Fourth Proportional to 2,940.57, 4,410.89 and 749.32

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Solution

The fourth proportional to 2,940.57, 4,410.89 and 749.32 is: 1,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.57 : 4,410.89 = 749.32 : x
  2. Step 2: Convert to fraction form
    2,940.57/4,410.89 = 749.32/x
  3. Step 3: Cross multiply
    2,940.57x = 4,410.89 × 749.32
  4. Step 4: Simplify right side
    2,940.57x = 3,305,156.13
  5. Step 5: Solve for x
    x = 3,305,156.13/2,940.57
  6. Step 6: Final answer
    x = 1,123.98

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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.