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Finding the Fourth Proportional to 696.05, 960.50 and 416.41

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Solution

The fourth proportional to 696.05, 960.50 and 416.41 is: 574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.05 : 960.50 = 416.41 : x
  2. Step 2: Convert to fraction form
    696.05/960.50 = 416.41/x
  3. Step 3: Cross multiply
    696.05x = 960.50 × 416.41
  4. Step 4: Simplify right side
    696.05x = 399,961.81
  5. Step 5: Solve for x
    x = 399,961.81/696.05
  6. Step 6: Final answer
    x = 574.62

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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.