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Finding the Fourth Proportional to 1,309.36, 1,963.56 and 659.64

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Solution

The fourth proportional to 1,309.36, 1,963.56 and 659.64 is: 989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.36 : 1,963.56 = 659.64 : x
  2. Step 2: Convert to fraction form
    1,309.36/1,963.56 = 659.64/x
  3. Step 3: Cross multiply
    1,309.36x = 1,963.56 × 659.64
  4. Step 4: Simplify right side
    1,309.36x = 1,295,242.72
  5. Step 5: Solve for x
    x = 1,295,242.72/1,309.36
  6. Step 6: Final answer
    x = 989.22

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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.