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Finding the Fourth Proportional to 472.53, 708.93 and 212.70

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Solution

The fourth proportional to 472.53, 708.93 and 212.70 is: 319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 708.93 = 212.70 : x
  2. Step 2: Convert to fraction form
    472.53/708.93 = 212.70/x
  3. Step 3: Cross multiply
    472.53x = 708.93 × 212.70
  4. Step 4: Simplify right side
    472.53x = 150,789.41
  5. Step 5: Solve for x
    x = 150,789.41/472.53
  6. Step 6: Final answer
    x = 319.11

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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.