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Finding the Fourth Proportional to 506.63, 699.33 and 299.63

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Solution

The fourth proportional to 506.63, 699.33 and 299.63 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.63 : 699.33 = 299.63 : x
  2. Step 2: Convert to fraction form
    506.63/699.33 = 299.63/x
  3. Step 3: Cross multiply
    506.63x = 699.33 × 299.63
  4. Step 4: Simplify right side
    506.63x = 209,540.25
  5. Step 5: Solve for x
    x = 209,540.25/506.63
  6. Step 6: Final answer
    x = 413.60

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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.