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Finding the Fourth Proportional to 1,546.82, 2,320.56 and 451.16

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Solution

The fourth proportional to 1,546.82, 2,320.56 and 451.16 is: 676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.82 : 2,320.56 = 451.16 : x
  2. Step 2: Convert to fraction form
    1,546.82/2,320.56 = 451.16/x
  3. Step 3: Cross multiply
    1,546.82x = 2,320.56 × 451.16
  4. Step 4: Simplify right side
    1,546.82x = 1,046,943.85
  5. Step 5: Solve for x
    x = 1,046,943.85/1,546.82
  6. Step 6: Final answer
    x = 676.84

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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.