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Finding the Fourth Proportional to 594.06, 819.48 and 397.63

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Solution

The fourth proportional to 594.06, 819.48 and 397.63 is: 548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.06 : 819.48 = 397.63 : x
  2. Step 2: Convert to fraction form
    594.06/819.48 = 397.63/x
  3. Step 3: Cross multiply
    594.06x = 819.48 × 397.63
  4. Step 4: Simplify right side
    594.06x = 325,849.83
  5. Step 5: Solve for x
    x = 325,849.83/594.06
  6. Step 6: Final answer
    x = 548.51

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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.