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Finding the Fourth Proportional to 516, 712.17 and 329.54

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Solution

The fourth proportional to 516, 712.17 and 329.54 is: 454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 712.17 = 329.54 : x
  2. Step 2: Convert to fraction form
    516/712.17 = 329.54/x
  3. Step 3: Cross multiply
    516x = 712.17 × 329.54
  4. Step 4: Simplify right side
    516x = 234,688.50
  5. Step 5: Solve for x
    x = 234,688.50/516
  6. Step 6: Final answer
    x = 454.82

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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.