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Finding the Fourth Proportional to 521.87, 782.81 and 247.98

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Solution

The fourth proportional to 521.87, 782.81 and 247.98 is: 371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.87 : 782.81 = 247.98 : x
  2. Step 2: Convert to fraction form
    521.87/782.81 = 247.98/x
  3. Step 3: Cross multiply
    521.87x = 782.81 × 247.98
  4. Step 4: Simplify right side
    521.87x = 194,123.85
  5. Step 5: Solve for x
    x = 194,123.85/521.87
  6. Step 6: Final answer
    x = 371.98

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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.