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Finding the Fourth Proportional to 436.12, 650.86 and 406.96

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Solution

The fourth proportional to 436.12, 650.86 and 406.96 is: 607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.12 : 650.86 = 406.96 : x
  2. Step 2: Convert to fraction form
    436.12/650.86 = 406.96/x
  3. Step 3: Cross multiply
    436.12x = 650.86 × 406.96
  4. Step 4: Simplify right side
    436.12x = 264,868.70
  5. Step 5: Solve for x
    x = 264,868.70/436.12
  6. Step 6: Final answer
    x = 607.34

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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.