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Finding the Fourth Proportional to 516.53, 713.27 and 385.31

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Solution

The fourth proportional to 516.53, 713.27 and 385.31 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.53 : 713.27 = 385.31 : x
  2. Step 2: Convert to fraction form
    516.53/713.27 = 385.31/x
  3. Step 3: Cross multiply
    516.53x = 713.27 × 385.31
  4. Step 4: Simplify right side
    516.53x = 274,830.06
  5. Step 5: Solve for x
    x = 274,830.06/516.53
  6. Step 6: Final answer
    x = 532.07

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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.