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Finding the Fourth Proportional to 1,966.80, 2,949.57 and 650.31

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Solution

The fourth proportional to 1,966.80, 2,949.57 and 650.31 is: 975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.80 : 2,949.57 = 650.31 : x
  2. Step 2: Convert to fraction form
    1,966.80/2,949.57 = 650.31/x
  3. Step 3: Cross multiply
    1,966.80x = 2,949.57 × 650.31
  4. Step 4: Simplify right side
    1,966.80x = 1,918,134.87
  5. Step 5: Solve for x
    x = 1,918,134.87/1,966.80
  6. Step 6: Final answer
    x = 975.26

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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.