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Finding the Fourth Proportional to 701.89, 975.31 and 694.30

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Solution

The fourth proportional to 701.89, 975.31 and 694.30 is: 964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.89 : 975.31 = 694.30 : x
  2. Step 2: Convert to fraction form
    701.89/975.31 = 694.30/x
  3. Step 3: Cross multiply
    701.89x = 975.31 × 694.30
  4. Step 4: Simplify right side
    701.89x = 677,157.73
  5. Step 5: Solve for x
    x = 677,157.73/701.89
  6. Step 6: Final answer
    x = 964.76

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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.