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Finding the Fourth Proportional to 506.19, 696.96 and 395.49

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Solution

The fourth proportional to 506.19, 696.96 and 395.49 is: 544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.19 : 696.96 = 395.49 : x
  2. Step 2: Convert to fraction form
    506.19/696.96 = 395.49/x
  3. Step 3: Cross multiply
    506.19x = 696.96 × 395.49
  4. Step 4: Simplify right side
    506.19x = 275,640.71
  5. Step 5: Solve for x
    x = 275,640.71/506.19
  6. Step 6: Final answer
    x = 544.54

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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.