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Finding the Fourth Proportional to 594.92, 820.99 and 346.38

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Solution

The fourth proportional to 594.92, 820.99 and 346.38 is: 478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.92 : 820.99 = 346.38 : x
  2. Step 2: Convert to fraction form
    594.92/820.99 = 346.38/x
  3. Step 3: Cross multiply
    594.92x = 820.99 × 346.38
  4. Step 4: Simplify right side
    594.92x = 284,374.54
  5. Step 5: Solve for x
    x = 284,374.54/594.92
  6. Step 6: Final answer
    x = 478.01

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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.