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Finding the Fourth Proportional to 516.67, 713.95 and 377.21

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Solution

The fourth proportional to 516.67, 713.95 and 377.21 is: 521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.67 : 713.95 = 377.21 : x
  2. Step 2: Convert to fraction form
    516.67/713.95 = 377.21/x
  3. Step 3: Cross multiply
    516.67x = 713.95 × 377.21
  4. Step 4: Simplify right side
    516.67x = 269,309.92
  5. Step 5: Solve for x
    x = 269,309.92/516.67
  6. Step 6: Final answer
    x = 521.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.