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Finding the Fourth Proportional to 648.10, 893.82 and 438.22

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Solution

The fourth proportional to 648.10, 893.82 and 438.22 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 893.82 = 438.22 : x
  2. Step 2: Convert to fraction form
    648.10/893.82 = 438.22/x
  3. Step 3: Cross multiply
    648.10x = 893.82 × 438.22
  4. Step 4: Simplify right side
    648.10x = 391,689.80
  5. Step 5: Solve for x
    x = 391,689.80/648.10
  6. Step 6: Final answer
    x = 604.37

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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.