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Finding the Fourth Proportional to 513.72, 704.34 and 504.47

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Solution

The fourth proportional to 513.72, 704.34 and 504.47 is: 691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.72 : 704.34 = 504.47 : x
  2. Step 2: Convert to fraction form
    513.72/704.34 = 504.47/x
  3. Step 3: Cross multiply
    513.72x = 704.34 × 504.47
  4. Step 4: Simplify right side
    513.72x = 355,318.40
  5. Step 5: Solve for x
    x = 355,318.40/513.72
  6. Step 6: Final answer
    x = 691.66

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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.