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Finding the Fourth Proportional to 521.24, 782.03 and 196.63

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Solution

The fourth proportional to 521.24, 782.03 and 196.63 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 782.03 = 196.63 : x
  2. Step 2: Convert to fraction form
    521.24/782.03 = 196.63/x
  3. Step 3: Cross multiply
    521.24x = 782.03 × 196.63
  4. Step 4: Simplify right side
    521.24x = 153,765.67
  5. Step 5: Solve for x
    x = 153,765.67/521.24
  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.