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Finding the Fourth Proportional to 519.69, 712.09 and 514.89

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Solution

The fourth proportional to 519.69, 712.09 and 514.89 is: 705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.69 : 712.09 = 514.89 : x
  2. Step 2: Convert to fraction form
    519.69/712.09 = 514.89/x
  3. Step 3: Cross multiply
    519.69x = 712.09 × 514.89
  4. Step 4: Simplify right side
    519.69x = 366,646.73
  5. Step 5: Solve for x
    x = 366,646.73/519.69
  6. Step 6: Final answer
    x = 705.51

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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.