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Finding the Fourth Proportional to 667.91, 922.05 and 518.20

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Solution

The fourth proportional to 667.91, 922.05 and 518.20 is: 715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.91 : 922.05 = 518.20 : x
  2. Step 2: Convert to fraction form
    667.91/922.05 = 518.20/x
  3. Step 3: Cross multiply
    667.91x = 922.05 × 518.20
  4. Step 4: Simplify right side
    667.91x = 477,804.00
  5. Step 5: Solve for x
    x = 477,804.00/667.91
  6. Step 6: Final answer
    x = 715.37

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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.