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Finding the Fourth Proportional to 705.41, 964.82 and 694.07

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Solution

The fourth proportional to 705.41, 964.82 and 694.07 is: 949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.41 : 964.82 = 694.07 : x
  2. Step 2: Convert to fraction form
    705.41/964.82 = 694.07/x
  3. Step 3: Cross multiply
    705.41x = 964.82 × 694.07
  4. Step 4: Simplify right side
    705.41x = 669,652.62
  5. Step 5: Solve for x
    x = 669,652.62/705.41
  6. Step 6: Final answer
    x = 949.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.