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Finding the Fourth Proportional to 680.07, 938.14 and 430.97

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Solution

The fourth proportional to 680.07, 938.14 and 430.97 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.07 : 938.14 = 430.97 : x
  2. Step 2: Convert to fraction form
    680.07/938.14 = 430.97/x
  3. Step 3: Cross multiply
    680.07x = 938.14 × 430.97
  4. Step 4: Simplify right side
    680.07x = 404,304.43
  5. Step 5: Solve for x
    x = 404,304.43/680.07
  6. Step 6: Final answer
    x = 594.50

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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.