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Finding the Fourth Proportional to 523.11, 717.90 and 473.88

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Solution

The fourth proportional to 523.11, 717.90 and 473.88 is: 650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.11 : 717.90 = 473.88 : x
  2. Step 2: Convert to fraction form
    523.11/717.90 = 473.88/x
  3. Step 3: Cross multiply
    523.11x = 717.90 × 473.88
  4. Step 4: Simplify right side
    523.11x = 340,198.45
  5. Step 5: Solve for x
    x = 340,198.45/523.11
  6. Step 6: Final answer
    x = 650.34

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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.