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Finding the Fourth Proportional to 523.08, 717.18 and 513.90

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Solution

The fourth proportional to 523.08, 717.18 and 513.90 is: 704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 717.18 = 513.90 : x
  2. Step 2: Convert to fraction form
    523.08/717.18 = 513.90/x
  3. Step 3: Cross multiply
    523.08x = 717.18 × 513.90
  4. Step 4: Simplify right side
    523.08x = 368,558.80
  5. Step 5: Solve for x
    x = 368,558.80/523.08
  6. Step 6: Final answer
    x = 704.59

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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.