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Finding the Fourth Proportional to 516.97, 779.01 and 427.67

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Solution

The fourth proportional to 516.97, 779.01 and 427.67 is: 644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.97 : 779.01 = 427.67 : x
  2. Step 2: Convert to fraction form
    516.97/779.01 = 427.67/x
  3. Step 3: Cross multiply
    516.97x = 779.01 × 427.67
  4. Step 4: Simplify right side
    516.97x = 333,153.71
  5. Step 5: Solve for x
    x = 333,153.71/516.97
  6. Step 6: Final answer
    x = 644.44

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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.