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Finding the Fourth Proportional to 506.12, 696.82 and 350.60

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Solution

The fourth proportional to 506.12, 696.82 and 350.60 is: 482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 696.82 = 350.60 : x
  2. Step 2: Convert to fraction form
    506.12/696.82 = 350.60/x
  3. Step 3: Cross multiply
    506.12x = 696.82 × 350.60
  4. Step 4: Simplify right side
    506.12x = 244,305.09
  5. Step 5: Solve for x
    x = 244,305.09/506.12
  6. Step 6: Final answer
    x = 482.70

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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.