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Finding the Fourth Proportional to 427.41, 644.17 and 403.57

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Solution

The fourth proportional to 427.41, 644.17 and 403.57 is: 608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.41 : 644.17 = 403.57 : x
  2. Step 2: Convert to fraction form
    427.41/644.17 = 403.57/x
  3. Step 3: Cross multiply
    427.41x = 644.17 × 403.57
  4. Step 4: Simplify right side
    427.41x = 259,964.62
  5. Step 5: Solve for x
    x = 259,964.62/427.41
  6. Step 6: Final answer
    x = 608.23

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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.