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Finding the Fourth Proportional to 516.41, 713.18 and 471.98

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Solution

The fourth proportional to 516.41, 713.18 and 471.98 is: 651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.41 : 713.18 = 471.98 : x
  2. Step 2: Convert to fraction form
    516.41/713.18 = 471.98/x
  3. Step 3: Cross multiply
    516.41x = 713.18 × 471.98
  4. Step 4: Simplify right side
    516.41x = 336,606.12
  5. Step 5: Solve for x
    x = 336,606.12/516.41
  6. Step 6: Final answer
    x = 651.83

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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.