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Finding the Fourth Proportional to 472.03, 707.57 and 327.44

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Solution

The fourth proportional to 472.03, 707.57 and 327.44 is: 490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.03 : 707.57 = 327.44 : x
  2. Step 2: Convert to fraction form
    472.03/707.57 = 327.44/x
  3. Step 3: Cross multiply
    472.03x = 707.57 × 327.44
  4. Step 4: Simplify right side
    472.03x = 231,688.08
  5. Step 5: Solve for x
    x = 231,688.08/472.03
  6. Step 6: Final answer
    x = 490.84

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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.