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Finding the Fourth Proportional to 2,279.64, 3,419.46 and 548.27

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Solution

The fourth proportional to 2,279.64, 3,419.46 and 548.27 is: 822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.64 : 3,419.46 = 548.27 : x
  2. Step 2: Convert to fraction form
    2,279.64/3,419.46 = 548.27/x
  3. Step 3: Cross multiply
    2,279.64x = 3,419.46 × 548.27
  4. Step 4: Simplify right side
    2,279.64x = 1,874,770.24
  5. Step 5: Solve for x
    x = 1,874,770.24/2,279.64
  6. Step 6: Final answer
    x = 822.40

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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.