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Finding the Fourth Proportional to 534.97, 738.35 and 447.61

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Solution

The fourth proportional to 534.97, 738.35 and 447.61 is: 617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.97 : 738.35 = 447.61 : x
  2. Step 2: Convert to fraction form
    534.97/738.35 = 447.61/x
  3. Step 3: Cross multiply
    534.97x = 738.35 × 447.61
  4. Step 4: Simplify right side
    534.97x = 330,492.84
  5. Step 5: Solve for x
    x = 330,492.84/534.97
  6. Step 6: Final answer
    x = 617.78

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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.