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Finding the Fourth Proportional to 518.85, 776.36 and 415.83

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Solution

The fourth proportional to 518.85, 776.36 and 415.83 is: 622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.85 : 776.36 = 415.83 : x
  2. Step 2: Convert to fraction form
    518.85/776.36 = 415.83/x
  3. Step 3: Cross multiply
    518.85x = 776.36 × 415.83
  4. Step 4: Simplify right side
    518.85x = 322,830.35
  5. Step 5: Solve for x
    x = 322,830.35/518.85
  6. Step 6: Final answer
    x = 622.20

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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.