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Finding the Fourth Proportional to 696.57, 1,039.44 and 641.70

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Solution

The fourth proportional to 696.57, 1,039.44 and 641.70 is: 957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.57 : 1,039.44 = 641.70 : x
  2. Step 2: Convert to fraction form
    696.57/1,039.44 = 641.70/x
  3. Step 3: Cross multiply
    696.57x = 1,039.44 × 641.70
  4. Step 4: Simplify right side
    696.57x = 667,008.65
  5. Step 5: Solve for x
    x = 667,008.65/696.57
  6. Step 6: Final answer
    x = 957.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.