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Finding the Fourth Proportional to 506.41, 699.11 and 350.89

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Solution

The fourth proportional to 506.41, 699.11 and 350.89 is: 484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.41 : 699.11 = 350.89 : x
  2. Step 2: Convert to fraction form
    506.41/699.11 = 350.89/x
  3. Step 3: Cross multiply
    506.41x = 699.11 × 350.89
  4. Step 4: Simplify right side
    506.41x = 245,310.71
  5. Step 5: Solve for x
    x = 245,310.71/506.41
  6. Step 6: Final answer
    x = 484.41

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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.