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Finding the Fourth Proportional to 513.85, 708.27 and 408.76

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Solution

The fourth proportional to 513.85, 708.27 and 408.76 is: 563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.85 : 708.27 = 408.76 : x
  2. Step 2: Convert to fraction form
    513.85/708.27 = 408.76/x
  3. Step 3: Cross multiply
    513.85x = 708.27 × 408.76
  4. Step 4: Simplify right side
    513.85x = 289,512.45
  5. Step 5: Solve for x
    x = 289,512.45/513.85
  6. Step 6: Final answer
    x = 563.42

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1.5x scale

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.