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Finding the Fourth Proportional to 437.49, 604.13 and 326.78

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Solution

The fourth proportional to 437.49, 604.13 and 326.78 is: 451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.49 : 604.13 = 326.78 : x
  2. Step 2: Convert to fraction form
    437.49/604.13 = 326.78/x
  3. Step 3: Cross multiply
    437.49x = 604.13 × 326.78
  4. Step 4: Simplify right side
    437.49x = 197,412.95
  5. Step 5: Solve for x
    x = 197,412.95/437.49
  6. Step 6: Final answer
    x = 451.24

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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.