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Finding the Fourth Proportional to 1,311.65, 1,968.68 and 662.84

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Solution

The fourth proportional to 1,311.65, 1,968.68 and 662.84 is: 994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.65 : 1,968.68 = 662.84 : x
  2. Step 2: Convert to fraction form
    1,311.65/1,968.68 = 662.84/x
  3. Step 3: Cross multiply
    1,311.65x = 1,968.68 × 662.84
  4. Step 4: Simplify right side
    1,311.65x = 1,304,919.85
  5. Step 5: Solve for x
    x = 1,304,919.85/1,311.65
  6. Step 6: Final answer
    x = 994.87

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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.