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Finding the Fourth Proportional to 517.82, 713.50 and 490.22

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Solution

The fourth proportional to 517.82, 713.50 and 490.22 is: 675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.82 : 713.50 = 490.22 : x
  2. Step 2: Convert to fraction form
    517.82/713.50 = 490.22/x
  3. Step 3: Cross multiply
    517.82x = 713.50 × 490.22
  4. Step 4: Simplify right side
    517.82x = 349,771.97
  5. Step 5: Solve for x
    x = 349,771.97/517.82
  6. Step 6: Final answer
    x = 675.47

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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.