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Finding the Fourth Proportional to 594.97, 822.27 and 447.55

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Solution

The fourth proportional to 594.97, 822.27 and 447.55 is: 618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.97 : 822.27 = 447.55 : x
  2. Step 2: Convert to fraction form
    594.97/822.27 = 447.55/x
  3. Step 3: Cross multiply
    594.97x = 822.27 × 447.55
  4. Step 4: Simplify right side
    594.97x = 368,006.94
  5. Step 5: Solve for x
    x = 368,006.94/594.97
  6. Step 6: Final answer
    x = 618.53

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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.