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Finding the Fourth Proportional to 475.88, 712.38 and 439.88

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Solution

The fourth proportional to 475.88, 712.38 and 439.88 is: 658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.88 : 712.38 = 439.88 : x
  2. Step 2: Convert to fraction form
    475.88/712.38 = 439.88/x
  3. Step 3: Cross multiply
    475.88x = 712.38 × 439.88
  4. Step 4: Simplify right side
    475.88x = 313,361.71
  5. Step 5: Solve for x
    x = 313,361.71/475.88
  6. Step 6: Final answer
    x = 658.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.