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Finding the Fourth Proportional to 472.72, 709.18 and 164.59

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Solution

The fourth proportional to 472.72, 709.18 and 164.59 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.72 : 709.18 = 164.59 : x
  2. Step 2: Convert to fraction form
    472.72/709.18 = 164.59/x
  3. Step 3: Cross multiply
    472.72x = 709.18 × 164.59
  4. Step 4: Simplify right side
    472.72x = 116,723.94
  5. Step 5: Solve for x
    x = 116,723.94/472.72
  6. Step 6: Final answer
    x = 246.92

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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.