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Finding the Fourth Proportional to 518.45, 776.85 and 415.19

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Solution

The fourth proportional to 518.45, 776.85 and 415.19 is: 622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.45 : 776.85 = 415.19 : x
  2. Step 2: Convert to fraction form
    518.45/776.85 = 415.19/x
  3. Step 3: Cross multiply
    518.45x = 776.85 × 415.19
  4. Step 4: Simplify right side
    518.45x = 322,540.35
  5. Step 5: Solve for x
    x = 322,540.35/518.45
  6. Step 6: Final answer
    x = 622.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.