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Finding the Fourth Proportional to 1,650, 2,473.62 and 676.80

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Solution

The fourth proportional to 1,650, 2,473.62 and 676.80 is: 1,014.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650 : 2,473.62 = 676.80 : x
  2. Step 2: Convert to fraction form
    1,650/2,473.62 = 676.80/x
  3. Step 3: Cross multiply
    1,650x = 2,473.62 × 676.80
  4. Step 4: Simplify right side
    1,650x = 1,674,146.02
  5. Step 5: Solve for x
    x = 1,674,146.02/1,650
  6. Step 6: Final answer
    x = 1,014.63

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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.