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Finding the Fourth Proportional to 696.45, 960.34 and 689.43

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Solution

The fourth proportional to 696.45, 960.34 and 689.43 is: 950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.45 : 960.34 = 689.43 : x
  2. Step 2: Convert to fraction form
    696.45/960.34 = 689.43/x
  3. Step 3: Cross multiply
    696.45x = 960.34 × 689.43
  4. Step 4: Simplify right side
    696.45x = 662,087.21
  5. Step 5: Solve for x
    x = 662,087.21/696.45
  6. Step 6: Final answer
    x = 950.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.