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Finding the Fourth Proportional to 521.85, 783.06 and 213.73

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Solution

The fourth proportional to 521.85, 783.06 and 213.73 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.85 : 783.06 = 213.73 : x
  2. Step 2: Convert to fraction form
    521.85/783.06 = 213.73/x
  3. Step 3: Cross multiply
    521.85x = 783.06 × 213.73
  4. Step 4: Simplify right side
    521.85x = 167,363.41
  5. Step 5: Solve for x
    x = 167,363.41/521.85
  6. Step 6: Final answer
    x = 320.71

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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.