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Finding the Fourth Proportional to 667.63, 920.92 and 431.20

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Solution

The fourth proportional to 667.63, 920.92 and 431.20 is: 594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.63 : 920.92 = 431.20 : x
  2. Step 2: Convert to fraction form
    667.63/920.92 = 431.20/x
  3. Step 3: Cross multiply
    667.63x = 920.92 × 431.20
  4. Step 4: Simplify right side
    667.63x = 397,095.02
  5. Step 5: Solve for x
    x = 397,095.02/667.63
  6. Step 6: Final answer
    x = 594.79

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Double scale
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Similar ratio
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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.