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Finding the Fourth Proportional to 435.20, 656.05 and 398.26

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Solution

The fourth proportional to 435.20, 656.05 and 398.26 is: 600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.20 : 656.05 = 398.26 : x
  2. Step 2: Convert to fraction form
    435.20/656.05 = 398.26/x
  3. Step 3: Cross multiply
    435.20x = 656.05 × 398.26
  4. Step 4: Simplify right side
    435.20x = 261,275.19
  5. Step 5: Solve for x
    x = 261,275.19/435.20
  6. Step 6: Final answer
    x = 600.36

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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.