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Finding the Fourth Proportional to 1,546.78, 2,320.10 and 451.19

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Solution

The fourth proportional to 1,546.78, 2,320.10 and 451.19 is: 676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.78 : 2,320.10 = 451.19 : x
  2. Step 2: Convert to fraction form
    1,546.78/2,320.10 = 451.19/x
  3. Step 3: Cross multiply
    1,546.78x = 2,320.10 × 451.19
  4. Step 4: Simplify right side
    1,546.78x = 1,046,805.92
  5. Step 5: Solve for x
    x = 1,046,805.92/1,546.78
  6. Step 6: Final answer
    x = 676.76

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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.