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Finding the Fourth Proportional to 519.40, 712.61 and 475.88

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Solution

The fourth proportional to 519.40, 712.61 and 475.88 is: 652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.40 : 712.61 = 475.88 : x
  2. Step 2: Convert to fraction form
    519.40/712.61 = 475.88/x
  3. Step 3: Cross multiply
    519.40x = 712.61 × 475.88
  4. Step 4: Simplify right side
    519.40x = 339,116.85
  5. Step 5: Solve for x
    x = 339,116.85/519.40
  6. Step 6: Final answer
    x = 652.90

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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.