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Finding the Fourth Proportional to 519.05, 778.76 and 431.98

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Solution

The fourth proportional to 519.05, 778.76 and 431.98 is: 648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 778.76 = 431.98 : x
  2. Step 2: Convert to fraction form
    519.05/778.76 = 431.98/x
  3. Step 3: Cross multiply
    519.05x = 778.76 × 431.98
  4. Step 4: Simplify right side
    519.05x = 336,408.74
  5. Step 5: Solve for x
    x = 336,408.74/519.05
  6. Step 6: Final answer
    x = 648.12

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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.