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Finding the Fourth Proportional to 1,311.64, 1,967.82 and 662.20

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Solution

The fourth proportional to 1,311.64, 1,967.82 and 662.20 is: 993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.64 : 1,967.82 = 662.20 : x
  2. Step 2: Convert to fraction form
    1,311.64/1,967.82 = 662.20/x
  3. Step 3: Cross multiply
    1,311.64x = 1,967.82 × 662.20
  4. Step 4: Simplify right side
    1,311.64x = 1,303,090.40
  5. Step 5: Solve for x
    x = 1,303,090.40/1,311.64
  6. Step 6: Final answer
    x = 993.48

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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.