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Finding the Fourth Proportional to 694.94, 965.75 and 686.23

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Solution

The fourth proportional to 694.94, 965.75 and 686.23 is: 953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.94 : 965.75 = 686.23 : x
  2. Step 2: Convert to fraction form
    694.94/965.75 = 686.23/x
  3. Step 3: Cross multiply
    694.94x = 965.75 × 686.23
  4. Step 4: Simplify right side
    694.94x = 662,727.73
  5. Step 5: Solve for x
    x = 662,727.73/694.94
  6. Step 6: Final answer
    x = 953.64

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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.