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Finding the Fourth Proportional to 1,977.27, 2,964.90 and 660.55

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Solution

The fourth proportional to 1,977.27, 2,964.90 and 660.55 is: 990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.27 : 2,964.90 = 660.55 : x
  2. Step 2: Convert to fraction form
    1,977.27/2,964.90 = 660.55/x
  3. Step 3: Cross multiply
    1,977.27x = 2,964.90 × 660.55
  4. Step 4: Simplify right side
    1,977.27x = 1,958,464.70
  5. Step 5: Solve for x
    x = 1,958,464.70/1,977.27
  6. Step 6: Final answer
    x = 990.49

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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.