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Finding the Fourth Proportional to 594.31, 819.38 and 384.11

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Solution

The fourth proportional to 594.31, 819.38 and 384.11 is: 529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.31 : 819.38 = 384.11 : x
  2. Step 2: Convert to fraction form
    594.31/819.38 = 384.11/x
  3. Step 3: Cross multiply
    594.31x = 819.38 × 384.11
  4. Step 4: Simplify right side
    594.31x = 314,736.60
  5. Step 5: Solve for x
    x = 314,736.60/594.31
  6. Step 6: Final answer
    x = 529.58

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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.