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Finding the Fourth Proportional to 564.43, 779.11 and 377.84

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Solution

The fourth proportional to 564.43, 779.11 and 377.84 is: 521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.43 : 779.11 = 377.84 : x
  2. Step 2: Convert to fraction form
    564.43/779.11 = 377.84/x
  3. Step 3: Cross multiply
    564.43x = 779.11 × 377.84
  4. Step 4: Simplify right side
    564.43x = 294,378.92
  5. Step 5: Solve for x
    x = 294,378.92/564.43
  6. Step 6: Final answer
    x = 521.55

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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.