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Finding the Fourth Proportional to 704.84, 979.38 and 697.23

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Solution

The fourth proportional to 704.84, 979.38 and 697.23 is: 968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.84 : 979.38 = 697.23 : x
  2. Step 2: Convert to fraction form
    704.84/979.38 = 697.23/x
  3. Step 3: Cross multiply
    704.84x = 979.38 × 697.23
  4. Step 4: Simplify right side
    704.84x = 682,853.12
  5. Step 5: Solve for x
    x = 682,853.12/704.84
  6. Step 6: Final answer
    x = 968.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.