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Finding the Fourth Proportional to 594.49, 819.97 and 397.66

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Solution

The fourth proportional to 594.49, 819.97 and 397.66 is: 548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.49 : 819.97 = 397.66 : x
  2. Step 2: Convert to fraction form
    594.49/819.97 = 397.66/x
  3. Step 3: Cross multiply
    594.49x = 819.97 × 397.66
  4. Step 4: Simplify right side
    594.49x = 326,069.27
  5. Step 5: Solve for x
    x = 326,069.27/594.49
  6. Step 6: Final answer
    x = 548.49

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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.