Home / 1,546.27-2,319.78-450.64

Finding the Fourth Proportional to 1,546.27, 2,319.78 and 450.64

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Solution

The fourth proportional to 1,546.27, 2,319.78 and 450.64 is: 676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.27 : 2,319.78 = 450.64 : x
  2. Step 2: Convert to fraction form
    1,546.27/2,319.78 = 450.64/x
  3. Step 3: Cross multiply
    1,546.27x = 2,319.78 × 450.64
  4. Step 4: Simplify right side
    1,546.27x = 1,045,383.41
  5. Step 5: Solve for x
    x = 1,045,383.41/1,546.27
  6. Step 6: Final answer
    x = 676.07

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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.