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Finding the Fourth Proportional to 662.85, 993.33 and 518.40

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Solution

The fourth proportional to 662.85, 993.33 and 518.40 is: 776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.85 : 993.33 = 518.40 : x
  2. Step 2: Convert to fraction form
    662.85/993.33 = 518.40/x
  3. Step 3: Cross multiply
    662.85x = 993.33 × 518.40
  4. Step 4: Simplify right side
    662.85x = 514,942.27
  5. Step 5: Solve for x
    x = 514,942.27/662.85
  6. Step 6: Final answer
    x = 776.86

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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.