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Finding the Fourth Proportional to 472.63, 709.01 and 198.69

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Solution

The fourth proportional to 472.63, 709.01 and 198.69 is: 298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.63 : 709.01 = 198.69 : x
  2. Step 2: Convert to fraction form
    472.63/709.01 = 198.69/x
  3. Step 3: Cross multiply
    472.63x = 709.01 × 198.69
  4. Step 4: Simplify right side
    472.63x = 140,873.20
  5. Step 5: Solve for x
    x = 140,873.20/472.63
  6. Step 6: Final answer
    x = 298.06

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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.