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Finding the Fourth Proportional to 594.45, 820.56 and 446.83

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Solution

The fourth proportional to 594.45, 820.56 and 446.83 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.45 : 820.56 = 446.83 : x
  2. Step 2: Convert to fraction form
    594.45/820.56 = 446.83/x
  3. Step 3: Cross multiply
    594.45x = 820.56 × 446.83
  4. Step 4: Simplify right side
    594.45x = 366,645.05
  5. Step 5: Solve for x
    x = 366,645.05/594.45
  6. Step 6: Final answer
    x = 616.78

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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.