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Finding the Fourth Proportional to 925.26, 1,393.44 and 779.92

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Solution

The fourth proportional to 925.26, 1,393.44 and 779.92 is: 1,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.26 : 1,393.44 = 779.92 : x
  2. Step 2: Convert to fraction form
    925.26/1,393.44 = 779.92/x
  3. Step 3: Cross multiply
    925.26x = 1,393.44 × 779.92
  4. Step 4: Simplify right side
    925.26x = 1,086,760.86
  5. Step 5: Solve for x
    x = 1,086,760.86/925.26
  6. Step 6: Final answer
    x = 1,174.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.