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Finding the Fourth Proportional to 594.24, 819.77 and 397.82

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Solution

The fourth proportional to 594.24, 819.77 and 397.82 is: 548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.24 : 819.77 = 397.82 : x
  2. Step 2: Convert to fraction form
    594.24/819.77 = 397.82/x
  3. Step 3: Cross multiply
    594.24x = 819.77 × 397.82
  4. Step 4: Simplify right side
    594.24x = 326,114.81
  5. Step 5: Solve for x
    x = 326,114.81/594.24
  6. Step 6: Final answer
    x = 548.79

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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.