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Finding the Fourth Proportional to 435.97, 650.78 and 403.85

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Solution

The fourth proportional to 435.97, 650.78 and 403.85 is: 602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.97 : 650.78 = 403.85 : x
  2. Step 2: Convert to fraction form
    435.97/650.78 = 403.85/x
  3. Step 3: Cross multiply
    435.97x = 650.78 × 403.85
  4. Step 4: Simplify right side
    435.97x = 262,815.88
  5. Step 5: Solve for x
    x = 262,815.88/435.97
  6. Step 6: Final answer
    x = 602.83

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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.