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Finding the Fourth Proportional to 516.98, 779.00 and 427.67

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Solution

The fourth proportional to 516.98, 779.00 and 427.67 is: 644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 779.00 = 427.67 : x
  2. Step 2: Convert to fraction form
    516.98/779.00 = 427.67/x
  3. Step 3: Cross multiply
    516.98x = 779.00 × 427.67
  4. Step 4: Simplify right side
    516.98x = 333,148.90
  5. Step 5: Solve for x
    x = 333,148.90/516.98
  6. Step 6: Final answer
    x = 644.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.