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Finding the Fourth Proportional to 513.10, 708.69 and 408.54

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Solution

The fourth proportional to 513.10, 708.69 and 408.54 is: 564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.10 : 708.69 = 408.54 : x
  2. Step 2: Convert to fraction form
    513.10/708.69 = 408.54/x
  3. Step 3: Cross multiply
    513.10x = 708.69 × 408.54
  4. Step 4: Simplify right side
    513.10x = 289,528.21
  5. Step 5: Solve for x
    x = 289,528.21/513.10
  6. Step 6: Final answer
    x = 564.27

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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.