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Finding the Fourth Proportional to 517.94, 773.09 and 456.42

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Solution

The fourth proportional to 517.94, 773.09 and 456.42 is: 681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.94 : 773.09 = 456.42 : x
  2. Step 2: Convert to fraction form
    517.94/773.09 = 456.42/x
  3. Step 3: Cross multiply
    517.94x = 773.09 × 456.42
  4. Step 4: Simplify right side
    517.94x = 352,854.88
  5. Step 5: Solve for x
    x = 352,854.88/517.94
  6. Step 6: Final answer
    x = 681.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.