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Finding the Fourth Proportional to 436.31, 655.36 and 421.73

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Solution

The fourth proportional to 436.31, 655.36 and 421.73 is: 633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.31 : 655.36 = 421.73 : x
  2. Step 2: Convert to fraction form
    436.31/655.36 = 421.73/x
  3. Step 3: Cross multiply
    436.31x = 655.36 × 421.73
  4. Step 4: Simplify right side
    436.31x = 276,384.97
  5. Step 5: Solve for x
    x = 276,384.97/436.31
  6. Step 6: Final answer
    x = 633.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.