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Finding the Fourth Proportional to 520.94, 713.43 and 514.12

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Solution

The fourth proportional to 520.94, 713.43 and 514.12 is: 704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.94 : 713.43 = 514.12 : x
  2. Step 2: Convert to fraction form
    520.94/713.43 = 514.12/x
  3. Step 3: Cross multiply
    520.94x = 713.43 × 514.12
  4. Step 4: Simplify right side
    520.94x = 366,788.63
  5. Step 5: Solve for x
    x = 366,788.63/520.94
  6. Step 6: Final answer
    x = 704.09

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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.