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Finding the Fourth Proportional to 680.27, 938.71 and 414.79

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Solution

The fourth proportional to 680.27, 938.71 and 414.79 is: 572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 938.71 = 414.79 : x
  2. Step 2: Convert to fraction form
    680.27/938.71 = 414.79/x
  3. Step 3: Cross multiply
    680.27x = 938.71 × 414.79
  4. Step 4: Simplify right side
    680.27x = 389,364.13
  5. Step 5: Solve for x
    x = 389,364.13/680.27
  6. Step 6: Final answer
    x = 572.37

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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.