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Finding the Fourth Proportional to 472.62, 708.90 and 198.61

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Solution

The fourth proportional to 472.62, 708.90 and 198.61 is: 297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.62 : 708.90 = 198.61 : x
  2. Step 2: Convert to fraction form
    472.62/708.90 = 198.61/x
  3. Step 3: Cross multiply
    472.62x = 708.90 × 198.61
  4. Step 4: Simplify right side
    472.62x = 140,794.63
  5. Step 5: Solve for x
    x = 140,794.63/472.62
  6. Step 6: Final answer
    x = 297.90

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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.