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Finding the Fourth Proportional to 1,966.25, 2,949.51 and 650.00

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Solution

The fourth proportional to 1,966.25, 2,949.51 and 650.00 is: 975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.25 : 2,949.51 = 650.00 : x
  2. Step 2: Convert to fraction form
    1,966.25/2,949.51 = 650.00/x
  3. Step 3: Cross multiply
    1,966.25x = 2,949.51 × 650.00
  4. Step 4: Simplify right side
    1,966.25x = 1,917,183.02
  5. Step 5: Solve for x
    x = 1,917,183.02/1,966.25
  6. Step 6: Final answer
    x = 975.05

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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.