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Finding the Fourth Proportional to 518.91, 711.03 and 514.14

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Solution

The fourth proportional to 518.91, 711.03 and 514.14 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.91 : 711.03 = 514.14 : x
  2. Step 2: Convert to fraction form
    518.91/711.03 = 514.14/x
  3. Step 3: Cross multiply
    518.91x = 711.03 × 514.14
  4. Step 4: Simplify right side
    518.91x = 365,568.96
  5. Step 5: Solve for x
    x = 365,568.96/518.91
  6. Step 6: Final answer
    x = 704.49

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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.