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Finding the Fourth Proportional to 564.72, 778.74 and 378.18

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Solution

The fourth proportional to 564.72, 778.74 and 378.18 is: 521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 778.74 = 378.18 : x
  2. Step 2: Convert to fraction form
    564.72/778.74 = 378.18/x
  3. Step 3: Cross multiply
    564.72x = 778.74 × 378.18
  4. Step 4: Simplify right side
    564.72x = 294,503.89
  5. Step 5: Solve for x
    x = 294,503.89/564.72
  6. Step 6: Final answer
    x = 521.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.