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Finding the Fourth Proportional to 435.96, 650.84 and 378.63

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Solution

The fourth proportional to 435.96, 650.84 and 378.63 is: 565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.96 : 650.84 = 378.63 : x
  2. Step 2: Convert to fraction form
    435.96/650.84 = 378.63/x
  3. Step 3: Cross multiply
    435.96x = 650.84 × 378.63
  4. Step 4: Simplify right side
    435.96x = 246,425.66
  5. Step 5: Solve for x
    x = 246,425.66/435.96
  6. Step 6: Final answer
    x = 565.25

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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.