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Finding the Fourth Proportional to 1,650.82, 2,476.30 and 676.84

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Solution

The fourth proportional to 1,650.82, 2,476.30 and 676.84 is: 1,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.82 : 2,476.30 = 676.84 : x
  2. Step 2: Convert to fraction form
    1,650.82/2,476.30 = 676.84/x
  3. Step 3: Cross multiply
    1,650.82x = 2,476.30 × 676.84
  4. Step 4: Simplify right side
    1,650.82x = 1,676,058.89
  5. Step 5: Solve for x
    x = 1,676,058.89/1,650.82
  6. Step 6: Final answer
    x = 1,015.29

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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.