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Finding the Fourth Proportional to 517.56, 712.80 and 377.43

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Solution

The fourth proportional to 517.56, 712.80 and 377.43 is: 519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 712.80 = 377.43 : x
  2. Step 2: Convert to fraction form
    517.56/712.80 = 377.43/x
  3. Step 3: Cross multiply
    517.56x = 712.80 × 377.43
  4. Step 4: Simplify right side
    517.56x = 269,032.10
  5. Step 5: Solve for x
    x = 269,032.10/517.56
  6. Step 6: Final answer
    x = 519.81

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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.