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Finding the Fourth Proportional to 517.10, 713.22 and 330.44

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Solution

The fourth proportional to 517.10, 713.22 and 330.44 is: 455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.10 : 713.22 = 330.44 : x
  2. Step 2: Convert to fraction form
    517.10/713.22 = 330.44/x
  3. Step 3: Cross multiply
    517.10x = 713.22 × 330.44
  4. Step 4: Simplify right side
    517.10x = 235,676.42
  5. Step 5: Solve for x
    x = 235,676.42/517.10
  6. Step 6: Final answer
    x = 455.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.