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Finding the Fourth Proportional to 483.56, 726.53 and 310.29

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Solution

The fourth proportional to 483.56, 726.53 and 310.29 is: 466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.56 : 726.53 = 310.29 : x
  2. Step 2: Convert to fraction form
    483.56/726.53 = 310.29/x
  3. Step 3: Cross multiply
    483.56x = 726.53 × 310.29
  4. Step 4: Simplify right side
    483.56x = 225,433.44
  5. Step 5: Solve for x
    x = 225,433.44/483.56
  6. Step 6: Final answer
    x = 466.20

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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.