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Finding the Fourth Proportional to 483.28, 726.26 and 471.56

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Solution

The fourth proportional to 483.28, 726.26 and 471.56 is: 708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.28 : 726.26 = 471.56 : x
  2. Step 2: Convert to fraction form
    483.28/726.26 = 471.56/x
  3. Step 3: Cross multiply
    483.28x = 726.26 × 471.56
  4. Step 4: Simplify right side
    483.28x = 342,469.18
  5. Step 5: Solve for x
    x = 342,469.18/483.28
  6. Step 6: Final answer
    x = 708.64

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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.