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Finding the Fourth Proportional to 512.64, 708.48 and 408.96

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Solution

The fourth proportional to 512.64, 708.48 and 408.96 is: 565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 708.48 = 408.96 : x
  2. Step 2: Convert to fraction form
    512.64/708.48 = 408.96/x
  3. Step 3: Cross multiply
    512.64x = 708.48 × 408.96
  4. Step 4: Simplify right side
    512.64x = 289,739.98
  5. Step 5: Solve for x
    x = 289,739.98/512.64
  6. Step 6: Final answer
    x = 565.19

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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.