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Finding the Fourth Proportional to 680.38, 938.55 and 431.26

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Solution

The fourth proportional to 680.38, 938.55 and 431.26 is: 594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.38 : 938.55 = 431.26 : x
  2. Step 2: Convert to fraction form
    680.38/938.55 = 431.26/x
  3. Step 3: Cross multiply
    680.38x = 938.55 × 431.26
  4. Step 4: Simplify right side
    680.38x = 404,759.07
  5. Step 5: Solve for x
    x = 404,759.07/680.38
  6. Step 6: Final answer
    x = 594.90

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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.