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Finding the Fourth Proportional to 594.40, 819.95 and 405.29

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Solution

The fourth proportional to 594.40, 819.95 and 405.29 is: 559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.40 : 819.95 = 405.29 : x
  2. Step 2: Convert to fraction form
    594.40/819.95 = 405.29/x
  3. Step 3: Cross multiply
    594.40x = 819.95 × 405.29
  4. Step 4: Simplify right side
    594.40x = 332,317.54
  5. Step 5: Solve for x
    x = 332,317.54/594.40
  6. Step 6: Final answer
    x = 559.08

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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.