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Finding the Fourth Proportional to 519.05, 778.77 and 210.98

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Solution

The fourth proportional to 519.05, 778.77 and 210.98 is: 316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 778.77 = 210.98 : x
  2. Step 2: Convert to fraction form
    519.05/778.77 = 210.98/x
  3. Step 3: Cross multiply
    519.05x = 778.77 × 210.98
  4. Step 4: Simplify right side
    519.05x = 164,306.84
  5. Step 5: Solve for x
    x = 164,306.84/519.05
  6. Step 6: Final answer
    x = 316.55

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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.