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Finding the Fourth Proportional to 1,976.79, 2,964.18 and 660.08

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Solution

The fourth proportional to 1,976.79, 2,964.18 and 660.08 is: 989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.79 : 2,964.18 = 660.08 : x
  2. Step 2: Convert to fraction form
    1,976.79/2,964.18 = 660.08/x
  3. Step 3: Cross multiply
    1,976.79x = 2,964.18 × 660.08
  4. Step 4: Simplify right side
    1,976.79x = 1,956,581.11
  5. Step 5: Solve for x
    x = 1,956,581.11/1,976.79
  6. Step 6: Final answer
    x = 989.78

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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.