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Finding the Fourth Proportional to 667.38, 920.97 and 405.42

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Solution

The fourth proportional to 667.38, 920.97 and 405.42 is: 559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.38 : 920.97 = 405.42 : x
  2. Step 2: Convert to fraction form
    667.38/920.97 = 405.42/x
  3. Step 3: Cross multiply
    667.38x = 920.97 × 405.42
  4. Step 4: Simplify right side
    667.38x = 373,379.66
  5. Step 5: Solve for x
    x = 373,379.66/667.38
  6. Step 6: Final answer
    x = 559.47

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Double scale
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1.5x scale

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.