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Finding the Fourth Proportional to 2,480.00, 3,719.97 and 748.63

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Solution

The fourth proportional to 2,480.00, 3,719.97 and 748.63 is: 1,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.00 : 3,719.97 = 748.63 : x
  2. Step 2: Convert to fraction form
    2,480.00/3,719.97 = 748.63/x
  3. Step 3: Cross multiply
    2,480.00x = 3,719.97 × 748.63
  4. Step 4: Simplify right side
    2,480.00x = 2,784,871.84
  5. Step 5: Solve for x
    x = 2,784,871.84/2,480.00
  6. Step 6: Final answer
    x = 1,122.93

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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.