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Finding the Fourth Proportional to 704.22, 966.26 and 697.69

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Solution

The fourth proportional to 704.22, 966.26 and 697.69 is: 957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.22 : 966.26 = 697.69 : x
  2. Step 2: Convert to fraction form
    704.22/966.26 = 697.69/x
  3. Step 3: Cross multiply
    704.22x = 966.26 × 697.69
  4. Step 4: Simplify right side
    704.22x = 674,149.94
  5. Step 5: Solve for x
    x = 674,149.94/704.22
  6. Step 6: Final answer
    x = 957.30

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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.