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Finding the Fourth Proportional to 517.65, 773.00 and 449.34

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Solution

The fourth proportional to 517.65, 773.00 and 449.34 is: 670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 773.00 = 449.34 : x
  2. Step 2: Convert to fraction form
    517.65/773.00 = 449.34/x
  3. Step 3: Cross multiply
    517.65x = 773.00 × 449.34
  4. Step 4: Simplify right side
    517.65x = 347,337.57
  5. Step 5: Solve for x
    x = 347,337.57/517.65
  6. Step 6: Final answer
    x = 670.99

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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.