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Finding the Fourth Proportional to 680.28, 938.76 and 414.87

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Solution

The fourth proportional to 680.28, 938.76 and 414.87 is: 572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.28 : 938.76 = 414.87 : x
  2. Step 2: Convert to fraction form
    680.28/938.76 = 414.87/x
  3. Step 3: Cross multiply
    680.28x = 938.76 × 414.87
  4. Step 4: Simplify right side
    680.28x = 389,463.36
  5. Step 5: Solve for x
    x = 389,463.36/680.28
  6. Step 6: Final answer
    x = 572.50

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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.