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Finding the Fourth Proportional to 564.21, 778.33 and 377.74

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Solution

The fourth proportional to 564.21, 778.33 and 377.74 is: 521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.21 : 778.33 = 377.74 : x
  2. Step 2: Convert to fraction form
    564.21/778.33 = 377.74/x
  3. Step 3: Cross multiply
    564.21x = 778.33 × 377.74
  4. Step 4: Simplify right side
    564.21x = 294,000.59
  5. Step 5: Solve for x
    x = 294,000.59/564.21
  6. Step 6: Final answer
    x = 521.09

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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.