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Finding the Fourth Proportional to 517.28, 709.57 and 506.48

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Solution

The fourth proportional to 517.28, 709.57 and 506.48 is: 694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.28 : 709.57 = 506.48 : x
  2. Step 2: Convert to fraction form
    517.28/709.57 = 506.48/x
  3. Step 3: Cross multiply
    517.28x = 709.57 × 506.48
  4. Step 4: Simplify right side
    517.28x = 359,383.01
  5. Step 5: Solve for x
    x = 359,383.01/517.28
  6. Step 6: Final answer
    x = 694.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.