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Finding the Fourth Proportional to 697.23, 968.85 and 689.65

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Solution

The fourth proportional to 697.23, 968.85 and 689.65 is: 958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.23 : 968.85 = 689.65 : x
  2. Step 2: Convert to fraction form
    697.23/968.85 = 689.65/x
  3. Step 3: Cross multiply
    697.23x = 968.85 × 689.65
  4. Step 4: Simplify right side
    697.23x = 668,164.98
  5. Step 5: Solve for x
    x = 668,164.98/697.23
  6. Step 6: Final answer
    x = 958.31

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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.