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Finding the Fourth Proportional to 436.56, 650.70 and 411.95

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Solution

The fourth proportional to 436.56, 650.70 and 411.95 is: 614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.56 : 650.70 = 411.95 : x
  2. Step 2: Convert to fraction form
    436.56/650.70 = 411.95/x
  3. Step 3: Cross multiply
    436.56x = 650.70 × 411.95
  4. Step 4: Simplify right side
    436.56x = 268,057.49
  5. Step 5: Solve for x
    x = 268,057.49/436.56
  6. Step 6: Final answer
    x = 614.03

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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.