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Finding the Fourth Proportional to 925.56, 1,385.22 and 779.49

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Solution

The fourth proportional to 925.56, 1,385.22 and 779.49 is: 1,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.56 : 1,385.22 = 779.49 : x
  2. Step 2: Convert to fraction form
    925.56/1,385.22 = 779.49/x
  3. Step 3: Cross multiply
    925.56x = 1,385.22 × 779.49
  4. Step 4: Simplify right side
    925.56x = 1,079,765.14
  5. Step 5: Solve for x
    x = 1,079,765.14/925.56
  6. Step 6: Final answer
    x = 1,166.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.