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Finding the Fourth Proportional to 521.62, 782.35 and 247.88

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Solution

The fourth proportional to 521.62, 782.35 and 247.88 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.62 : 782.35 = 247.88 : x
  2. Step 2: Convert to fraction form
    521.62/782.35 = 247.88/x
  3. Step 3: Cross multiply
    521.62x = 782.35 × 247.88
  4. Step 4: Simplify right side
    521.62x = 193,928.92
  5. Step 5: Solve for x
    x = 193,928.92/521.62
  6. Step 6: Final answer
    x = 371.78

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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.