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Finding the Fourth Proportional to 594.31, 819.97 and 345.62

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Solution

The fourth proportional to 594.31, 819.97 and 345.62 is: 476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.31 : 819.97 = 345.62 : x
  2. Step 2: Convert to fraction form
    594.31/819.97 = 345.62/x
  3. Step 3: Cross multiply
    594.31x = 819.97 × 345.62
  4. Step 4: Simplify right side
    594.31x = 283,398.03
  5. Step 5: Solve for x
    x = 283,398.03/594.31
  6. Step 6: Final answer
    x = 476.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.