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Finding the Fourth Proportional to 490.72, 737.28 and 428.08

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Solution

The fourth proportional to 490.72, 737.28 and 428.08 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.72 : 737.28 = 428.08 : x
  2. Step 2: Convert to fraction form
    490.72/737.28 = 428.08/x
  3. Step 3: Cross multiply
    490.72x = 737.28 × 428.08
  4. Step 4: Simplify right side
    490.72x = 315,614.82
  5. Step 5: Solve for x
    x = 315,614.82/490.72
  6. Step 6: Final answer
    x = 643.17

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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.