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Finding the Fourth Proportional to 516.31, 712.64 and 319.99

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Solution

The fourth proportional to 516.31, 712.64 and 319.99 is: 441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.31 : 712.64 = 319.99 : x
  2. Step 2: Convert to fraction form
    516.31/712.64 = 319.99/x
  3. Step 3: Cross multiply
    516.31x = 712.64 × 319.99
  4. Step 4: Simplify right side
    516.31x = 228,037.67
  5. Step 5: Solve for x
    x = 228,037.67/516.31
  6. Step 6: Final answer
    x = 441.67

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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.