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Finding the Fourth Proportional to 523.76, 717.46 and 518

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Solution

The fourth proportional to 523.76, 717.46 and 518 is: 709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.76 : 717.46 = 518 : x
  2. Step 2: Convert to fraction form
    523.76/717.46 = 518/x
  3. Step 3: Cross multiply
    523.76x = 717.46 × 518
  4. Step 4: Simplify right side
    523.76x = 371,644.28
  5. Step 5: Solve for x
    x = 371,644.28/523.76
  6. Step 6: Final answer
    x = 709.57

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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.