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Finding the Fourth Proportional to 435.26, 650.02 and 411.57

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Solution

The fourth proportional to 435.26, 650.02 and 411.57 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.26 : 650.02 = 411.57 : x
  2. Step 2: Convert to fraction form
    435.26/650.02 = 411.57/x
  3. Step 3: Cross multiply
    435.26x = 650.02 × 411.57
  4. Step 4: Simplify right side
    435.26x = 267,528.73
  5. Step 5: Solve for x
    x = 267,528.73/435.26
  6. Step 6: Final answer
    x = 614.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.