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Finding the Fourth Proportional to 704.10, 964.39 and 664.22

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Solution

The fourth proportional to 704.10, 964.39 and 664.22 is: 909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.10 : 964.39 = 664.22 : x
  2. Step 2: Convert to fraction form
    704.10/964.39 = 664.22/x
  3. Step 3: Cross multiply
    704.10x = 964.39 × 664.22
  4. Step 4: Simplify right side
    704.10x = 640,563.80
  5. Step 5: Solve for x
    x = 640,563.80/704.10
  6. Step 6: Final answer
    x = 909.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.