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Finding the Fourth Proportional to 668.54, 996.91 and 577.82

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Solution

The fourth proportional to 668.54, 996.91 and 577.82 is: 861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.54 : 996.91 = 577.82 : x
  2. Step 2: Convert to fraction form
    668.54/996.91 = 577.82/x
  3. Step 3: Cross multiply
    668.54x = 996.91 × 577.82
  4. Step 4: Simplify right side
    668.54x = 576,034.54
  5. Step 5: Solve for x
    x = 576,034.54/668.54
  6. Step 6: Final answer
    x = 861.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.