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Finding the Fourth Proportional to 435.96, 656.30 and 398.30

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Solution

The fourth proportional to 435.96, 656.30 and 398.30 is: 599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.96 : 656.30 = 398.30 : x
  2. Step 2: Convert to fraction form
    435.96/656.30 = 398.30/x
  3. Step 3: Cross multiply
    435.96x = 656.30 × 398.30
  4. Step 4: Simplify right side
    435.96x = 261,399.02
  5. Step 5: Solve for x
    x = 261,399.02/435.96
  6. Step 6: Final answer
    x = 599.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.