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Finding the Fourth Proportional to 594.14, 819.89 and 328.58

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Solution

The fourth proportional to 594.14, 819.89 and 328.58 is: 453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.14 : 819.89 = 328.58 : x
  2. Step 2: Convert to fraction form
    594.14/819.89 = 328.58/x
  3. Step 3: Cross multiply
    594.14x = 819.89 × 328.58
  4. Step 4: Simplify right side
    594.14x = 269,393.71
  5. Step 5: Solve for x
    x = 269,393.71/594.14
  6. Step 6: Final answer
    x = 453.42

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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.