Home / 1,546.24-2,319.84-450.76

Finding the Fourth Proportional to 1,546.24, 2,319.84 and 450.76

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Solution

The fourth proportional to 1,546.24, 2,319.84 and 450.76 is: 676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.24 : 2,319.84 = 450.76 : x
  2. Step 2: Convert to fraction form
    1,546.24/2,319.84 = 450.76/x
  3. Step 3: Cross multiply
    1,546.24x = 2,319.84 × 450.76
  4. Step 4: Simplify right side
    1,546.24x = 1,045,691.08
  5. Step 5: Solve for x
    x = 1,045,691.08/1,546.24
  6. Step 6: Final answer
    x = 676.28

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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.