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Finding the Fourth Proportional to 516.64, 712.86 and 385.36

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Solution

The fourth proportional to 516.64, 712.86 and 385.36 is: 531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 712.86 = 385.36 : x
  2. Step 2: Convert to fraction form
    516.64/712.86 = 385.36/x
  3. Step 3: Cross multiply
    516.64x = 712.86 × 385.36
  4. Step 4: Simplify right side
    516.64x = 274,707.73
  5. Step 5: Solve for x
    x = 274,707.73/516.64
  6. Step 6: Final answer
    x = 531.72

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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.