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Finding the Fourth Proportional to 521.34, 781.75 and 196.73

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Solution

The fourth proportional to 521.34, 781.75 and 196.73 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.34 : 781.75 = 196.73 : x
  2. Step 2: Convert to fraction form
    521.34/781.75 = 196.73/x
  3. Step 3: Cross multiply
    521.34x = 781.75 × 196.73
  4. Step 4: Simplify right side
    521.34x = 153,792.95
  5. Step 5: Solve for x
    x = 153,792.95/521.34
  6. Step 6: Final answer
    x = 295.00

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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.