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Finding the Fourth Proportional to 516.32, 712.56 and 319.84

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Solution

The fourth proportional to 516.32, 712.56 and 319.84 is: 441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.32 : 712.56 = 319.84 : x
  2. Step 2: Convert to fraction form
    516.32/712.56 = 319.84/x
  3. Step 3: Cross multiply
    516.32x = 712.56 × 319.84
  4. Step 4: Simplify right side
    516.32x = 227,905.19
  5. Step 5: Solve for x
    x = 227,905.19/516.32
  6. Step 6: Final answer
    x = 441.40

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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.