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Finding the Fourth Proportional to 564.44, 778.83 and 354.74

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Solution

The fourth proportional to 564.44, 778.83 and 354.74 is: 489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 778.83 = 354.74 : x
  2. Step 2: Convert to fraction form
    564.44/778.83 = 354.74/x
  3. Step 3: Cross multiply
    564.44x = 778.83 × 354.74
  4. Step 4: Simplify right side
    564.44x = 276,282.15
  5. Step 5: Solve for x
    x = 276,282.15/564.44
  6. Step 6: Final answer
    x = 489.48

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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.