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Finding the Fourth Proportional to 594.49, 819.84 and 408.19

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Solution

The fourth proportional to 594.49, 819.84 and 408.19 is: 562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.49 : 819.84 = 408.19 : x
  2. Step 2: Convert to fraction form
    594.49/819.84 = 408.19/x
  3. Step 3: Cross multiply
    594.49x = 819.84 × 408.19
  4. Step 4: Simplify right side
    594.49x = 334,650.49
  5. Step 5: Solve for x
    x = 334,650.49/594.49
  6. Step 6: Final answer
    x = 562.92

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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.