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Finding the Fourth Proportional to 513.71, 708.17 and 408.84

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Solution

The fourth proportional to 513.71, 708.17 and 408.84 is: 563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.71 : 708.17 = 408.84 : x
  2. Step 2: Convert to fraction form
    513.71/708.17 = 408.84/x
  3. Step 3: Cross multiply
    513.71x = 708.17 × 408.84
  4. Step 4: Simplify right side
    513.71x = 289,529.24
  5. Step 5: Solve for x
    x = 289,529.24/513.71
  6. Step 6: Final answer
    x = 563.60

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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.