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Finding the Fourth Proportional to 517.96, 773.15 and 456.45

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Solution

The fourth proportional to 517.96, 773.15 and 456.45 is: 681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 773.15 = 456.45 : x
  2. Step 2: Convert to fraction form
    517.96/773.15 = 456.45/x
  3. Step 3: Cross multiply
    517.96x = 773.15 × 456.45
  4. Step 4: Simplify right side
    517.96x = 352,899.14
  5. Step 5: Solve for x
    x = 352,899.14/517.96
  6. Step 6: Final answer
    x = 681.32

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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.