Home / 1,546.33-2,319.49-450.70

Finding the Fourth Proportional to 1,546.33, 2,319.49 and 450.70

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Solution

The fourth proportional to 1,546.33, 2,319.49 and 450.70 is: 676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.33 : 2,319.49 = 450.70 : x
  2. Step 2: Convert to fraction form
    1,546.33/2,319.49 = 450.70/x
  3. Step 3: Cross multiply
    1,546.33x = 2,319.49 × 450.70
  4. Step 4: Simplify right side
    1,546.33x = 1,045,394.14
  5. Step 5: Solve for x
    x = 1,045,394.14/1,546.33
  6. Step 6: Final answer
    x = 676.05

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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.