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Finding the Fourth Proportional to 519.86, 784.26 and 494.22

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Solution

The fourth proportional to 519.86, 784.26 and 494.22 is: 745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.86 : 784.26 = 494.22 : x
  2. Step 2: Convert to fraction form
    519.86/784.26 = 494.22/x
  3. Step 3: Cross multiply
    519.86x = 784.26 × 494.22
  4. Step 4: Simplify right side
    519.86x = 387,596.98
  5. Step 5: Solve for x
    x = 387,596.98/519.86
  6. Step 6: Final answer
    x = 745.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.