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Finding the Fourth Proportional to 563.97, 778.37 and 354.33

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Solution

The fourth proportional to 563.97, 778.37 and 354.33 is: 489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.97 : 778.37 = 354.33 : x
  2. Step 2: Convert to fraction form
    563.97/778.37 = 354.33/x
  3. Step 3: Cross multiply
    563.97x = 778.37 × 354.33
  4. Step 4: Simplify right side
    563.97x = 275,799.84
  5. Step 5: Solve for x
    x = 275,799.84/563.97
  6. Step 6: Final answer
    x = 489.03

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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.