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Finding the Fourth Proportional to 435.33, 655.37 and 397.06

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Solution

The fourth proportional to 435.33, 655.37 and 397.06 is: 597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.33 : 655.37 = 397.06 : x
  2. Step 2: Convert to fraction form
    435.33/655.37 = 397.06/x
  3. Step 3: Cross multiply
    435.33x = 655.37 × 397.06
  4. Step 4: Simplify right side
    435.33x = 260,223.15
  5. Step 5: Solve for x
    x = 260,223.15/435.33
  6. Step 6: Final answer
    x = 597.76

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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.