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Finding the Fourth Proportional to 513.92, 712.85 and 496.43

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Solution

The fourth proportional to 513.92, 712.85 and 496.43 is: 688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 712.85 = 496.43 : x
  2. Step 2: Convert to fraction form
    513.92/712.85 = 496.43/x
  3. Step 3: Cross multiply
    513.92x = 712.85 × 496.43
  4. Step 4: Simplify right side
    513.92x = 353,880.13
  5. Step 5: Solve for x
    x = 353,880.13/513.92
  6. Step 6: Final answer
    x = 688.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.