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Finding the Fourth Proportional to 884.87, 1,327.98 and 474.35

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Solution

The fourth proportional to 884.87, 1,327.98 and 474.35 is: 711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.87 : 1,327.98 = 474.35 : x
  2. Step 2: Convert to fraction form
    884.87/1,327.98 = 474.35/x
  3. Step 3: Cross multiply
    884.87x = 1,327.98 × 474.35
  4. Step 4: Simplify right side
    884.87x = 629,922.45
  5. Step 5: Solve for x
    x = 629,922.45/884.87
  6. Step 6: Final answer
    x = 711.88

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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.