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Finding the Fourth Proportional to 800.32, 1,198.82 and 474.88

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Solution

The fourth proportional to 800.32, 1,198.82 and 474.88 is: 711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.32 : 1,198.82 = 474.88 : x
  2. Step 2: Convert to fraction form
    800.32/1,198.82 = 474.88/x
  3. Step 3: Cross multiply
    800.32x = 1,198.82 × 474.88
  4. Step 4: Simplify right side
    800.32x = 569,295.64
  5. Step 5: Solve for x
    x = 569,295.64/800.32
  6. Step 6: Final answer
    x = 711.34

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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.