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Finding the Fourth Proportional to 564.21, 778.57 and 354.38

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Solution

The fourth proportional to 564.21, 778.57 and 354.38 is: 489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.21 : 778.57 = 354.38 : x
  2. Step 2: Convert to fraction form
    564.21/778.57 = 354.38/x
  3. Step 3: Cross multiply
    564.21x = 778.57 × 354.38
  4. Step 4: Simplify right side
    564.21x = 275,905.85
  5. Step 5: Solve for x
    x = 275,905.85/564.21
  6. Step 6: Final answer
    x = 489.02

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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.