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Finding the Fourth Proportional to 521.14, 780.94 and 212.62

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Solution

The fourth proportional to 521.14, 780.94 and 212.62 is: 318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.14 : 780.94 = 212.62 : x
  2. Step 2: Convert to fraction form
    521.14/780.94 = 212.62/x
  3. Step 3: Cross multiply
    521.14x = 780.94 × 212.62
  4. Step 4: Simplify right side
    521.14x = 166,042.93
  5. Step 5: Solve for x
    x = 166,042.93/521.14
  6. Step 6: Final answer
    x = 318.61

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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.