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Finding the Fourth Proportional to 438.49, 606.27 and 431.56

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Solution

The fourth proportional to 438.49, 606.27 and 431.56 is: 596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.49 : 606.27 = 431.56 : x
  2. Step 2: Convert to fraction form
    438.49/606.27 = 431.56/x
  3. Step 3: Cross multiply
    438.49x = 606.27 × 431.56
  4. Step 4: Simplify right side
    438.49x = 261,641.88
  5. Step 5: Solve for x
    x = 261,641.88/438.49
  6. Step 6: Final answer
    x = 596.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.