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Finding the Fourth Proportional to 926.44, 1,278.48 and 577.33

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Solution

The fourth proportional to 926.44, 1,278.48 and 577.33 is: 796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.44 : 1,278.48 = 577.33 : x
  2. Step 2: Convert to fraction form
    926.44/1,278.48 = 577.33/x
  3. Step 3: Cross multiply
    926.44x = 1,278.48 × 577.33
  4. Step 4: Simplify right side
    926.44x = 738,103.83
  5. Step 5: Solve for x
    x = 738,103.83/926.44
  6. Step 6: Final answer
    x = 796.71

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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.