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Finding the Fourth Proportional to 435.38, 655.44 and 397.11

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Solution

The fourth proportional to 435.38, 655.44 and 397.11 is: 597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 655.44 = 397.11 : x
  2. Step 2: Convert to fraction form
    435.38/655.44 = 397.11/x
  3. Step 3: Cross multiply
    435.38x = 655.44 × 397.11
  4. Step 4: Simplify right side
    435.38x = 260,282.04
  5. Step 5: Solve for x
    x = 260,282.04/435.38
  6. Step 6: Final answer
    x = 597.83

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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.