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Finding the Fourth Proportional to 553.37, 828.97 and 310.05

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Solution

The fourth proportional to 553.37, 828.97 and 310.05 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.37 : 828.97 = 310.05 : x
  2. Step 2: Convert to fraction form
    553.37/828.97 = 310.05/x
  3. Step 3: Cross multiply
    553.37x = 828.97 × 310.05
  4. Step 4: Simplify right side
    553.37x = 257,021.37
  5. Step 5: Solve for x
    x = 257,021.37/553.37
  6. Step 6: Final answer
    x = 464.47

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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.