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Finding the Fourth Proportional to 667.22, 919.94 and 499.41

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Solution

The fourth proportional to 667.22, 919.94 and 499.41 is: 688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.22 : 919.94 = 499.41 : x
  2. Step 2: Convert to fraction form
    667.22/919.94 = 499.41/x
  3. Step 3: Cross multiply
    667.22x = 919.94 × 499.41
  4. Step 4: Simplify right side
    667.22x = 459,424.74
  5. Step 5: Solve for x
    x = 459,424.74/667.22
  6. Step 6: Final answer
    x = 688.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.