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Finding the Fourth Proportional to 519.51, 779.17 and 194.79

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Solution

The fourth proportional to 519.51, 779.17 and 194.79 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.51 : 779.17 = 194.79 : x
  2. Step 2: Convert to fraction form
    519.51/779.17 = 194.79/x
  3. Step 3: Cross multiply
    519.51x = 779.17 × 194.79
  4. Step 4: Simplify right side
    519.51x = 151,773.55
  5. Step 5: Solve for x
    x = 151,773.55/519.51
  6. Step 6: Final answer
    x = 292.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.