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Finding the Fourth Proportional to 564.72, 779.28 and 389.76

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Solution

The fourth proportional to 564.72, 779.28 and 389.76 is: 537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 779.28 = 389.76 : x
  2. Step 2: Convert to fraction form
    564.72/779.28 = 389.76/x
  3. Step 3: Cross multiply
    564.72x = 779.28 × 389.76
  4. Step 4: Simplify right side
    564.72x = 303,732.17
  5. Step 5: Solve for x
    x = 303,732.17/564.72
  6. Step 6: Final answer
    x = 537.85

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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.