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Finding the Fourth Proportional to 594.94, 821.37 and 385.18

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Solution

The fourth proportional to 594.94, 821.37 and 385.18 is: 531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.94 : 821.37 = 385.18 : x
  2. Step 2: Convert to fraction form
    594.94/821.37 = 385.18/x
  3. Step 3: Cross multiply
    594.94x = 821.37 × 385.18
  4. Step 4: Simplify right side
    594.94x = 316,375.30
  5. Step 5: Solve for x
    x = 316,375.30/594.94
  6. Step 6: Final answer
    x = 531.78

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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.