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Finding the Fourth Proportional to 594.74, 820.73 and 345.97

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Solution

The fourth proportional to 594.74, 820.73 and 345.97 is: 477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.74 : 820.73 = 345.97 : x
  2. Step 2: Convert to fraction form
    594.74/820.73 = 345.97/x
  3. Step 3: Cross multiply
    594.74x = 820.73 × 345.97
  4. Step 4: Simplify right side
    594.74x = 283,949.85
  5. Step 5: Solve for x
    x = 283,949.85/594.74
  6. Step 6: Final answer
    x = 477.43

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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.