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Finding the Fourth Proportional to 697.09, 968.44 and 690.75

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Solution

The fourth proportional to 697.09, 968.44 and 690.75 is: 959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.09 : 968.44 = 690.75 : x
  2. Step 2: Convert to fraction form
    697.09/968.44 = 690.75/x
  3. Step 3: Cross multiply
    697.09x = 968.44 × 690.75
  4. Step 4: Simplify right side
    697.09x = 668,949.93
  5. Step 5: Solve for x
    x = 668,949.93/697.09
  6. Step 6: Final answer
    x = 959.63

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1.5x scale

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.