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Finding the Fourth Proportional to 594.39, 820.30 and 332.43

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Solution

The fourth proportional to 594.39, 820.30 and 332.43 is: 458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.39 : 820.30 = 332.43 : x
  2. Step 2: Convert to fraction form
    594.39/820.30 = 332.43/x
  3. Step 3: Cross multiply
    594.39x = 820.30 × 332.43
  4. Step 4: Simplify right side
    594.39x = 272,692.33
  5. Step 5: Solve for x
    x = 272,692.33/594.39
  6. Step 6: Final answer
    x = 458.78

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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.