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Finding the Fourth Proportional to 539.71, 745.71 and 519.21

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Solution

The fourth proportional to 539.71, 745.71 and 519.21 is: 717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.71 : 745.71 = 519.21 : x
  2. Step 2: Convert to fraction form
    539.71/745.71 = 519.21/x
  3. Step 3: Cross multiply
    539.71x = 745.71 × 519.21
  4. Step 4: Simplify right side
    539.71x = 387,178.14
  5. Step 5: Solve for x
    x = 387,178.14/539.71
  6. Step 6: Final answer
    x = 717.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.