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Finding the Fourth Proportional to 553.62, 832.04 and 490.44

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Solution

The fourth proportional to 553.62, 832.04 and 490.44 is: 737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.62 : 832.04 = 490.44 : x
  2. Step 2: Convert to fraction form
    553.62/832.04 = 490.44/x
  3. Step 3: Cross multiply
    553.62x = 832.04 × 490.44
  4. Step 4: Simplify right side
    553.62x = 408,065.70
  5. Step 5: Solve for x
    x = 408,065.70/553.62
  6. Step 6: Final answer
    x = 737.09

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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.