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Finding the Fourth Proportional to 513.71, 704.13 and 506.51

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Solution

The fourth proportional to 513.71, 704.13 and 506.51 is: 694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.71 : 704.13 = 506.51 : x
  2. Step 2: Convert to fraction form
    513.71/704.13 = 506.51/x
  3. Step 3: Cross multiply
    513.71x = 704.13 × 506.51
  4. Step 4: Simplify right side
    513.71x = 356,645.37
  5. Step 5: Solve for x
    x = 356,645.37/513.71
  6. Step 6: Final answer
    x = 694.26

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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.