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Finding the Fourth Proportional to 472.97, 709.47 and 212.69

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Solution

The fourth proportional to 472.97, 709.47 and 212.69 is: 319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.97 : 709.47 = 212.69 : x
  2. Step 2: Convert to fraction form
    472.97/709.47 = 212.69/x
  3. Step 3: Cross multiply
    472.97x = 709.47 × 212.69
  4. Step 4: Simplify right side
    472.97x = 150,893.63
  5. Step 5: Solve for x
    x = 150,893.63/472.97
  6. Step 6: Final answer
    x = 319.04

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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.