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Finding the Fourth Proportional to 513.85, 704.41 and 504.53

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Solution

The fourth proportional to 513.85, 704.41 and 504.53 is: 691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.85 : 704.41 = 504.53 : x
  2. Step 2: Convert to fraction form
    513.85/704.41 = 504.53/x
  3. Step 3: Cross multiply
    513.85x = 704.41 × 504.53
  4. Step 4: Simplify right side
    513.85x = 355,393.45
  5. Step 5: Solve for x
    x = 355,393.45/513.85
  6. Step 6: Final answer
    x = 691.64

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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.