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Finding the Fourth Proportional to 438.15, 653.31 and 422.34

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Solution

The fourth proportional to 438.15, 653.31 and 422.34 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.15 : 653.31 = 422.34 : x
  2. Step 2: Convert to fraction form
    438.15/653.31 = 422.34/x
  3. Step 3: Cross multiply
    438.15x = 653.31 × 422.34
  4. Step 4: Simplify right side
    438.15x = 275,918.95
  5. Step 5: Solve for x
    x = 275,918.95/438.15
  6. Step 6: Final answer
    x = 629.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.