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Finding the Fourth Proportional to 865.77, 1,298.17 and 396.73

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Solution

The fourth proportional to 865.77, 1,298.17 and 396.73 is: 594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.77 : 1,298.17 = 396.73 : x
  2. Step 2: Convert to fraction form
    865.77/1,298.17 = 396.73/x
  3. Step 3: Cross multiply
    865.77x = 1,298.17 × 396.73
  4. Step 4: Simplify right side
    865.77x = 515,022.98
  5. Step 5: Solve for x
    x = 515,022.98/865.77
  6. Step 6: Final answer
    x = 594.87

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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.