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Finding the Fourth Proportional to 519.51, 778.23 and 345.66

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Solution

The fourth proportional to 519.51, 778.23 and 345.66 is: 517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.51 : 778.23 = 345.66 : x
  2. Step 2: Convert to fraction form
    519.51/778.23 = 345.66/x
  3. Step 3: Cross multiply
    519.51x = 778.23 × 345.66
  4. Step 4: Simplify right side
    519.51x = 269,002.98
  5. Step 5: Solve for x
    x = 269,002.98/519.51
  6. Step 6: Final answer
    x = 517.80

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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.