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Finding the Fourth Proportional to 667.08, 920.33 and 418.31

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Solution

The fourth proportional to 667.08, 920.33 and 418.31 is: 577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.08 : 920.33 = 418.31 : x
  2. Step 2: Convert to fraction form
    667.08/920.33 = 418.31/x
  3. Step 3: Cross multiply
    667.08x = 920.33 × 418.31
  4. Step 4: Simplify right side
    667.08x = 384,976.55
  5. Step 5: Solve for x
    x = 384,976.55/667.08
  6. Step 6: Final answer
    x = 577.11

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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.