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Finding the Fourth Proportional to 513.28, 703.78 and 506.80

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Solution

The fourth proportional to 513.28, 703.78 and 506.80 is: 694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.28 : 703.78 = 506.80 : x
  2. Step 2: Convert to fraction form
    513.28/703.78 = 506.80/x
  3. Step 3: Cross multiply
    513.28x = 703.78 × 506.80
  4. Step 4: Simplify right side
    513.28x = 356,675.70
  5. Step 5: Solve for x
    x = 356,675.70/513.28
  6. Step 6: Final answer
    x = 694.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.