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Finding the Fourth Proportional to 1,650.98, 2,474.92 and 828.29

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Solution

The fourth proportional to 1,650.98, 2,474.92 and 828.29 is: 1,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.98 : 2,474.92 = 828.29 : x
  2. Step 2: Convert to fraction form
    1,650.98/2,474.92 = 828.29/x
  3. Step 3: Cross multiply
    1,650.98x = 2,474.92 × 828.29
  4. Step 4: Simplify right side
    1,650.98x = 2,049,939.11
  5. Step 5: Solve for x
    x = 2,049,939.11/1,650.98
  6. Step 6: Final answer
    x = 1,241.65

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1.5x scale

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.