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Finding the Fourth Proportional to 513.53, 704.05 and 504.31

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Solution

The fourth proportional to 513.53, 704.05 and 504.31 is: 691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.53 : 704.05 = 504.31 : x
  2. Step 2: Convert to fraction form
    513.53/704.05 = 504.31/x
  3. Step 3: Cross multiply
    513.53x = 704.05 × 504.31
  4. Step 4: Simplify right side
    513.53x = 355,059.46
  5. Step 5: Solve for x
    x = 355,059.46/513.53
  6. Step 6: Final answer
    x = 691.41

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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.